Tính giá trị biểu thức S = sin 2 15 0 + cos 2 20 0 + sin 2 75 0 + cos 2 110 0. Nilai dari (sin x. Solve. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. 와. x→−3lim x2 + 2x − 3x2 − 9. Step 1. 01:58.suballyS . Find the value of 2sin15°⋅ cos75°. Tap for more steps √2 + √6 4 ⋅ √6 + √2 4 Multiply √2 + √6 4 ⋅ √6 + √2 4. Exact Form: Decimal Form: Download Solution PDF. Nilai eksak dari adalah . Tap for more steps The exact value of cos(15) cos ( 15) is √6+√2 4 6 + 2 4. Thus, when two angles are complementary, we can say that the sine of θ θ equals the cofunction of the complement of θ. Open in App. Related Symbolab blog posts. 7 B. Mathematics. Find the value of 2sin15°⋅ cos75°. What is the value of 2sin(75)cos(15) ? The value of 2sin(75)cos(15) is 1+(sqrt(3))/2 Substituting for x and y in y=2x yields: 2u\sin v=2u\cos v\quad \Rightarrow \quad v=\frac{\pi}{4} So y=2x is a horizontal line in the uv plane. trigonometry; class-12; Share It On Facebook Twitter Email. Given: Expression = sin75° + cos15° Concepts used: sin (A + B) = sinA cosB + cosA sinB Calculation: ⇒ sin75° + cos15° = sin75° +.2. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. 9. 2) Rewriting sin75. Jawaban terverifikasi. componendo-dividendo on sin75∘ sin15∘. Apply the sum of angles identity. Step 8. Sin 75° = Sin 150° Notice: Sin 150 º = Sin 30° See that Sin 75° = Cos 15° Cos 75° = Sin 15° So : 2Cos 75° . Q 5.5 0. The result can be shown in multiple forms. see below cos 15^@=cos(45^@-30^@) =cos45^@cos30^@+sin45^@sin30^@ =sqrt2/2* sqrt3/2+sqrt2/2 *1/2 =sqrt6/4+sqrt2/4 =(sqrt6+sqrt2)/4 Ingat rumus sin⁡ 2A = 2 sin ⁡A cos ⁡A, maka 2 sin⁡ 15 cos⁡ 15 = sin ⁡2(15) = sin ⁡30 = Ingat rumus sin⁡ 2A = 2 sin ⁡A cos ⁡A, maka.
0k points) selected Apr 19, 2020 by Vevek01 
. 1 Answer +1 vote .9k points) 2 cos 75° . tan(2x) = 2 tan(x) / (1 Split 15 15 into two angles where the values of the six trigonometric functions are known. c o s 15 o. Business Analyst Course Digital Marketing Course. cos 15° = sin 75° =.9659) on the Prove that cos 2 75° + cos 2 15° = 1. (I included it because when solving problems we DO sometimes think of cos(75)cos(15) - sin(75)sin(15) Simplify each term. cos 15°. Step 2. . Nilai eksak dari adalah . Sin 75 + cos 15. Step 2. √3 √2. Hitunglah nilai gradien garis tangen kurva fungsi f (θ)=cotanθ−2cosecθ, untuk θ=π/3. Lets see how to determine it sin15-cos15 = √2( 1 √2 sin15- 1 √2 cos15) sin 15 - cos 15 = 2 ( 1 2 s i n 15 - 1 2 cos 15) = √2(cos45sin15-sin45cos15) = √2sin(15−45) =-√2sin30 = 2 ( cos 45 sin 15 - sin 45 cos 15) = 2 sin ( 15 − 45) = - 2 sin 30 So it is a negative sin15-cos15 =-√1-sin30 =- 1 √2 sin 15 - cos 15 = - 1 - sin 30 = - 1 2 - (2) Find the value of 2 sin 15. trigonometry; class-12; Share It On Facebook Twitter Email. What is a basic trigonometric equation? A basic trigonometric equation has the form sin (x)=a, cos (x)=a, tan (x)=a, cot (x)=a. Split into two angles where the values of the six trigonometric functions are known. Combine the numerators over the common denominator. ⇒ sin(75) + sin(15) = √6/2 . Selain menggunakan sudut ganda, juga akan menggunakan rumus dasar pengurangan sudut pada trigonometri. Tap for more steps 1 4 - 1 4 Combine fractions. . The value of (cos 75 ∘ − cos 15 ∘) 2 + (sin 75 Step by step video, text & image solution for Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Check Answer and Solution for above question from Mathemati. Beri Rating · 0.9659 (approx). (i) sin2 +sin275 cos236 +cos2. 02:45. Find the Exact Value cos(15 degrees ) Step 1. Explain your reasoning. Click here👆to get an answer to your question ️ Prove that 2sin 75^o sin 15^o = 12. Join BYJU'S Learning Program. Apply the difference of angles identity. C. Beri Rating sin 2θ = 2 sin θ cos θ . Check Answer and Solution for above question from Mathemati We have, 2 s in 1 5 ∘ cos 7 5 ⇒ cos(75) - cos(15) = - 1/√2 Therefore, the value of cos(75) - cos(15) is (- 1/ √2) Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses are your key to success. Ex 3. soal2. Nilai eksak dari adalah . Note: Since, cosine is an even function, the value of cos (-75°) = cos (75°). 참고로 sinx = cos (90-x)입니다. c o s 15 o. sin 75° = (√6+√2)/4. Step 8.noitagen etarapeS . cos Find value of sin 75° cos 15° + cos 75° sin 15° Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Nilai 2(sin 50 cos 40+cos 80 sin 70)=. Notice also that sin θ = cos (π 2 − θ), sin θ = cos (π 2 − θ), which is opposite over hypotenuse.cos 15° = t 2. 0. Chapter 3 … = √3/√2. See that Sin 75° = Cos 15°. Final answer: The sum of sin(75°) and cos(15°) is calculated by first noting that sin(75°) = cos(15°) owing to co-function identities. Important Solutions 1004. jika mendapat soal seperti ini maka penyelesaiannya adalah disini terdapat soal nilai dari sin 75 derajat cos 15 derajat adalah kita bisa menggunakan rumus untuk 2 Sin a cos B bentuknya akan menjadi a + b + Sin a kurang bSelanjutnya kita lihat pada soal bentuk soal ini adalah hanya Sin a cos b maka dapat kita ubah bentuknya menjadi setengah Sin a + b + dengan setengah Sin A min b. 17 Desember 2021 05:02. B.D . Sin 75⁰ cos 15⁰ Rumus yang kita gunakan yaitu : 2 sinA cos B = sin(A+B) + sin(A-B) Sehingga, Sin 75⁰ cos 15⁰ = ½ (sin(75+15) + sin(75-15) = ½ (sin 90 + sin 60) = ½ (1 + ½*akar(3)) = ½ + ¼*akar(3) Jadi, sin 75° cos 15° = ½ + ¼*akar(3) b. Solve. 236. Combine the numerators over the common denominator. √ 3 4. 3 cos 105⁰ cos 15⁰ Rumus yang digunakan yaitu : 2 cos A cos B = cos(A+B) + cos(A-B) Sehingga Apakah Friends pada soal ini kita akan menentukan nilai dari poin A dan poin B untuk menyelesaikan soal ini kita mengingat beberapa rumus terkait trigonometri yang pertama untuk bentuk Sin Alfa + Sin beta bisa kita jabarkan seperti ini kita juga punya rumus untuk Sin Alfa yang digambarkan seperti ini kemudian kita juga perlu ingat bahwa nilai Sin 45derajat ini akan = cos 45 derajat yaitu per 2 \sin (75)\cos (15) en. Terapkan identitas penjumlahan sudut . But in that case the multiple angle formula gives us the $\sin \left ( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac {1} {2}$. Start with the definition of cotangent as the inverse sin (90 - θ) = cos θ . sin (75) = cos ( -(90 - 75) ) = cos ( -15 ) Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step.cos 75 Expert-Verified Answer question 18 people found it helpful mysticd report flag outlined Therefore.0 (8 rating) Now we got, from (2) sin 15° - cos 15°= -√(1 - sin 30°) … (4) Adding eq. S = 1. Verified by Toppr. \({\rm cos}(165 #= cos^2 a - sin^2 a#. The exact value of cos(30) cos ( 30) is √3 2 3 2. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. = 1/4 ( √6 + √2 ) Demikianlah contoh-contoh soal trigonometri dan pembahasannya. sin 15° = cos 75° =. sin(2⋅75) sin ( 2 ⋅ 75) Multiply 2 2 by 75 75. Share on Whatsapp Latest Navy AA Updates. ⇒ sin75∘ sin15 Free trigonometric identity calculator - verify trigonometric identities step-by-step. Nilai eksak dari adalah . Sin 75 Degrees. Step 1. Step 8.4. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30) The exact value of sin(45) sin ( 45) is √2 2 2 2. Step 2.0k points) selected Apr 19, 2020 by Vevek01 . Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. The exact value of is . (3) and (4) we get, 2 sin 15° = √(1 + ½) - √(1 - ½) 2 sin 15° = (√3−1)/√2. Step 2. The exact value of is . It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠.0 (0) Balas. sin15° 의 값은 아래와 같이 구합니다.5 Solve your math problems using our free math solver with step-by-step solutions. The area of R is given by A=\iint_RdA Find the spectrum of an operator related to Fourier series Trigonometry Find the Exact Value 2sin (75)cos (75) 2sin(75) cos (75) 2 sin ( 75) cos ( 75) Apply the sine double - angle identity.2588, 0. Step 3. The exact value of is . Join / Login. Use trig identity: sin (a - b) = sin a. Jawab: Penjelasan dengan langkah-langkah: soal1. Click a picture with our app and get instant verified solutions. (cos (A+B)=cosAcosB - sinAsinB 공식 활용) A=B 이면 cos2A = cosA^2 - sinA^2 = 1 - 2 sinA^2. \(\sin \left(195{}^\circ \right)\) 3. Here, cos 150° is negative because 150° is to the left of the origin, in Quadrant II, and 180° − 150° = 30°, so Trigonometry Examples. (A) ((2+√3)/2) (B) 1 (C) (√3/2) (D) (2-√3/2). How to convert radians to degrees? The formula to convert radians to degrees: degrees = radians * 180 / π. Trigonometry Find the Exact Value cos (75)cos (15) cos (75)cos (15) cos ( 75) cos ( 15) The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4. Apply the sum of angles identity. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 Free trigonometric equation calculator - solve trigonometric equations step-by-step $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). sin 15° = cos 75° =. What is trigonometry used for? Trigonometry is used in a variety of fields and … Trigonometry Examples Popular Problems Trigonometry Find the Exact Value sin (75)cos (15) sin(75)cos(15) The exact value of sin(75) is √2 + √6 4. 1 Answer +1 vote . Step 3. cos 15° = cos ( 45° - 30° ) = cos 45 cos 30 + sin 45 sin 30. dxd (x − 5)(3x2 − 2) Integration. (A) ((2+√3)/2) (B) 1 (C) (√3/2) (D) (2-√3/2). Standard XII. 참고로 sinx = cos (90-x)입니다. Step 8.2k points) trigonometric functions View Solution. Tonton video. Therefore, the value of sin(75) + sin(15) is (√6 / 2). Question 1: What is the value of sin(75) – sin(15). Domain and Range of Trigonometric Ratios. Guides. cos2α = 2cos2α − 1. ∫ 01 xe−x2dx.cos a Trig table --> #sin 45 = sqrt2/2# and #cos 30 = sqrt3/2# #sin 30 = 1/2#, and #cos 45 = sqrt2/2# There for: #sin (45 - 30) = sin 15 = (sqrt2/2)(sqrt3/2) - (sqrt2/2)(1/2) = # Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step. Class 11 MATHS TRIGONOMETRIC FUNCTIONS. Tentukan Nilai yang Tepat cos(75)cos(15) Step 1. sin 15° = cos 75° =. 8 C. sin(2⋅75) sin ( 2 ⋅ 75) Multiply 2 2 by 75 75. sin2α = 2(3 5)( − 4 5) = − 24 25. Tap for more steps Step 1. 1.ay ini tukireb nasalejnep nakitahreP . Nilai eksak dari adalah .2. So : 2Cos 75° . Jawaban terverifikasi. Ketuk untuk lebih banyak langkah Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui. Split 75 75 into two angles where the values of the six trigonometric functions are known. Nur. Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat. sin 2 75 ∘ − sin 2 15 ∘ = sin 2 (90 ∘ − 15 ∘) − sin 2 15 ∘ = cos 2 15 ∘ − sin 2 15 ∘ = cos 2 × 15 Nilai 2(sin 50 cos 40+cos 80 sin 70)=. 9. A. Sin 75° = Sin 150°. Step 3. So, sin45 + sin15 = √2 + √2 − √3 2. How to Find the Value of Sin 75 Degrees? The value of sin 75 degrees can be calculated by constructing an angle of 75° with the x-axis, and then finding the coordinates of the corresponding point (0. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30.

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2.2.ngis sunim a ekat ro evig ,°03 fo snoitcnuf eht sa emas eht era yeht esuaceb yltcaxe °051 fo snoitcnuf eht wonk uoy dna ,°051 fo flah si °57 :noituloS . cos(2⋅75) cos ( 2 ⋅ 75) Multiply 2 2 by 75 75. can be obtained using. View Solution. Exact Form: 1 2 1 2 Decimal Form: 0. Note: Since, cosine is an even function, the value of cos (-15°) = cos (15°). Kesimpulan. Sin 75° = 2 Sin 15°Cos°15 = Sin 30° Prove that (i) sin80° cos20° - cos80° sin20° = √3/2 (ii) cos45° cos15° - sin45° sin15° = 1/2 (iii) cos75° cos15° + sin75° sin15° = 1/2 You would need an expression to work with.2 1 . 1/2.5 D. The field emerged in the Hellenistic world during … Free math problem solver answers your trigonometry homework questions with step-by-step explanations.9659258.com. cos 15° = sin 75° =.9659 (approx). answered Apr 19, 2020 by Nidhi01 (60. cos 15° We know that . Karnataka Board PUC PUC Science 2nd PUC Class 12. Step 7. Detailed step by step solution for 2sin(75)cos(15) Substituting for x and y in y=2x yields: 2u\sin v=2u\cos v\quad \Rightarrow \quad v=\frac{\pi}{4} So y=2x is a horizontal line in the uv plane. How to convert radians to degrees? The formula to convert radians to degrees: degrees = radians * 180 / π. Evaluate the following and justify your answer. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.1. Prove that cos 105° + cos 15° = sin 75° − sin 15°. . Câu hỏi trong đề: Trắc nghiệm Giá trị lượng giác của một góc bất kì từ 0o đến 150o có đáp án (Vận dụng) !! Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step Free trigonometric function calculator - evaluate trigonometric functions step-by-step. Similarly, tangent and cotangent are cofunctions, and secant and cosecant are cofunctions. tan 2 ( t) + 1 = sec 2 ( t) 1 + cot 2 ( t) = csc 2 ( t) Advertisement. sin2α = 2sinαcosα. . 입니다.1. CONSTRUCTING VIABLE ARGUMENTS To be profi cient in math, you need to understand and use stated assumptions, defi nitions, and Postingan ini membahas contoh soal perkalian sinus dan sinus, sinus dan cosinus, cosinus dan cosinus yang disertai pembahasannya atau penyelesaiannya.2. Step 9. Here is another Method to prove the Result : Observe that the Exp. Calculation: cos 2 15° - cos 2 75 = cos 2 15° - sin 2 15° = cos (2 × 15°) (∵ cos 2 θ - sin 2 θ = cos 2θ) = cos 30° = \(\frac {\sqrt 3}{2}\) Download Solution PDF. D. 8 C. = 1/4 √6 + 1/4 √2. Tonton video. Q. … Trigonometry Find the Exact Value cos (75)cos (15) cos (75)cos (15) cos ( 75) cos ( 15) The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4.4. B.1 petS )51(soc eulaV tcaxE eht dniF . Apply the sum of angles identity cos(x+y) = cos(x)cos(y)−sin(x)sin(y) cos ( x + y) = cos ( x) cos ( y) - sin ( x) sin ( y). If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. Solution: -sin(180° + 75°) = -sin 255° cos(90° - 75°) = cos 15° The value of sin 75° is (√6 + √2)/4 or 0. sin(2x) = 2 sin x cos x cos(2x) = cos ^2 (x) - sin ^2 (x) = 2 cos ^2 (x) - 1 = 1 - 2 sin ^2 (x) . Multiply by . cos2α = 1 −2sin2α. ⇒ cos 15° = cos 375° = cos 735°, and so on. Apply the sum of angles identity. sin 15° = cos 15°. So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Q. Tap for more steps Step 1., •••♪ Find Math textbook solutions? Class 12 Class 11 Class 10 Class 9 Class 8 Class 7 Class 6 Class 5 Class 4 Class 3 Class 2 Class 1 NCERT Class 9 Mathematics 619 solutions NCERT Class 8 Mathematics 815 solutions #sin(2theta) = 2 sin theta cos theta# So: #cos 75^@ cos 15^@+sin 75^@ sin 15^@ = sin 15^@ cos 15^@ + sin 15^@ cos 15^@ = sin 30^@ = 1/2# Answer link. Share on Whatsapp. Last updated on Jul 4, 2023 Indian Navy SSR Agniveer 02/2023 Admit Card Out! Nilai dari 2 sin 75° cos 15° adalah. ⇒ t = √ (3/2) Download Solution PDF. Nilai eksak dari adalah . Mahasiswa/Alumni Institut Teknologi Bandung. b. Evaluate: cos 15 ° sin 15 ° sin 75 ° cos 75 ° Q. Find the exact values of sin 75° and cos 75° using sum formulas. sin 75 cos 15 - cos 75 sin 15 = = sin(75 - 15) = sin 60 = 1/2 √3. Rumus Jumlah dan Selisih Sudut di sini hanya adalah 75 dan bedanya adalah 15 baik maka dari itu langsung saja saya tulis ulang dulu soalnya di sini cos 75 derajat dikali cos 15 derajat dikurangdengan Sin 75 derajat dikali dengan Sin 15 derajat maka dari itu kita punya di sini adalah cos tan(x y) = (tan x tan y) / (1 tan x tan y) . Find the Value of Sin 15 with vedantu. -sin(180° + 75°) = -sin 255° cos(90° - 75°) = cos 15° The value of sin 75° is (√6 + √2)/4 or 0. = 1/2 √2 . Cari nilai dari sin 75!! Untuk bisa mendapatkan 75, berarti kita harus menjumlahkan 45 dengan 30, sehingga rumus yang digunakan adalah rumus penjumlahan sinus.Then, the sum of sin(75°) + cos(15°) is equivalent to 2cos(15°). Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . Sudut 15 derajat merupakan salah satu sudut bukan istimewa yang tentu tidak kita hafalkan nilainya, akan tetapi bisa kita So, sin x cos x = (1/2) sin 2x. Once you know the general form of the sum and difference identities then you will recognize this as cosine of a difference. DN. C.rewsna ruoy yfitsuj dna gniwollof eht etaulavE . Tap for more steps √2 + √6 4 cos(15) The exact value of cos(15) is √6 + √2 4. Combine the numerators over the common denominator. You could find cos2α by using any of: cos2α = cos2α −sin2α. Limits. . sin 15°. Precalculus Simplify cos (75)^2-sin (75)^2 cos2 (75) − sin2 (75) cos 2 ( 75) - sin 2 ( 75) Apply the cosine double - angle identity. . Multiply by .S. 2 sin⁡ 15 cos⁡ 15 = sin ⁡2(15) = sin ⁡30 = Perdalam pemahamanmu bersama Master Teacher di sesi Live Teaching, GRATIS! 13rb+ 3. Find the exact values of sin 75° and cos 75° using difference formulas. Step 8. Hai Google jadi disini kita diminta untuk mencari tahu nilai dari cos 75 derajat dikurang cos 15 derajat untuk menyelesaikan soal ini kita bahwa apabila kita punya cos derajat dikurangi B derajat maka akan = min 2 dikali Sin setengah a derajat + b derajat X dengan tin Tengah a Drajat dikurangi B derajat di sini kita punya 75 derajat dan b derajat nya yaitu 15 … Find the Exact Value sin(75) Step 1.1.H. Jawabannya adalah(2+√3)/2.cos b - sin b. Since cosine function is positive in the first quadrant, thus cos 75° value = (√6 - √2)/4 or 0. Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. Method 2: Another method to find the value of sin 15 degrees is given below. 1 2 1 2 The result can be shown in multiple forms. The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. Evaluate the following and justify your answer. √3−1 √2. Squaring on both sides, we get. sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B. Notice: Sin 150 º = Sin 30°. Q. View Solution. . Step 9.Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step. θ.5 D. View More. MCQ Online Mock Tests 22. Q 5. Skill Academy. Full pad Examples Frequently Asked Questions (FAQ) What is trigonometry? Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. Sin 75° = 2 Sin 15°Cos°15 = Sin 30°. ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0 Blog Koma - Rumus dasar sudut ganda trigonometri salah satunya bisa kita gunakan untuk Menghitung Nilai sin dan cos 15 derajat yang akan kita bahas pada artikel ini. Tap for more steps √6−√2 4 … Transcript. Ex 3. The exact value of cos(45) cos ( 45) is √2 2 2 2. Serial order wise. Kita gunakan rumus selisih cos ( α - β ) = cos α cos β + sin α sin β. Related questions. 참고로 sinx = cos (90-x)입니다. Untuk menyelesaikan soal ini kita menggunakan rumus: sin A cos B = 1/2 [sin (A+B) + sin (A-B)] Diketahui: sin 90° Pembahasan: sin 75° cos 15°= 1/2 [sin (75°+15°) + sin (75°-15°)] =1/2 [ sin 90°+ sin 60°] =1/2 [ 1 + ( (akar 3)/2)] =1/2 + ( (akar 3)/4) = (2+ (akar 3))/4 Jadi, nilai dari Hallo Bobarius, kakak bantu jawab yah :) a. Exact The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4..3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3.0. Multiply by . Split into two angles where the values of the six trigonometric functions are known. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. sin 2θ = 2 sin θ cos θ = \(\dfrac 12\) × sin 2(15°) = \(\dfrac 12\) × sin (30 (π 2 − θ). Enter a problem Cooking Calculators. sin(30) sin ( 30) Solve your math problems using our free math solver with step-by-step solutions.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3.1.1. sin 75 degrees = (√6+√2)/4. sin(150) sin ( 150) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ - Mathematics Explanation: For cos 75 degrees, the angle 75° lies between 0° and 90° (First Quadrant ).1. The result can be shown in multiple forms.2588190. Note: we can also convert $\sin 15$ into $\cos 75$. Nilai eksak dari adalah . cos … Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step The value of sin 2 75 ∘ − sin 2 15 is. Note: Since, cosine is an even function, the value of cos (-15°) = cos (15°). Tap for more steps Cancel the common factor of 4 4 and 16 16.2 √3 + 1/2 √2 . The sin of 75 degrees is (√6+√2)/4, the same as sin Find the value off the following: sec^2 10° - cot^2 80° + (sin15° cos75° + cos15° sin75°)/(cosθsin(90° - θ) + sinθcos(90° - θ)) asked Oct 6, 2020 in Trigonometry by Chandan01 ( 51.2. The result can be shown in multiple forms. For example: Given sinα = 3 5 and cosα = − 4 5, you could find sin2α by using the double angle identity. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate beginvmatrixcos 15o sin 15o sin 75o cos 75oendvmatrix. Tap for more steps √6−√2 4 cos(15) 6 - 2 4 cos ( 15) The exact value of cos(15) cos ( 15) is √6+√2 4 6 + 2 4. B. Compare your answers to those in part (a). View Solution. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge 2 cos 75° . Pada soal ini kita akan menentukan nilai dari 2 * cos 75 derajat * sinus 15 derajat untuk menyelesaikan soal ini maka kita akan menggunakan identitas trigonometri atau sifat Tri Guna untuk menyelesaikan soal ini maka kita akan menggunakan sifat trigonometri berkaitan dengan selisih dari nilai sinus A dan B jika saya Tuliskan sinus a dikurangi dengan sinus b. If you want to know what is sin 75 degrees in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what's ahead in this section is the value of sin 75°: sin75° = (√6+√2)/4. Now, sin75∘ sin15∘ = sin75∘ cos(90∘ −15∘) = sin75∘ cos75∘, = tan75∘ = tan(45∘ + 30∘), = tan45∘ +tan30∘ 1 − tan45∘tan30∘, = 1 + 1 √3 1 − 1 √3. S = 2. 9rb+ 2. on the L. Combine the numerators over the common denominator. #cos ((13pi)/12)# #= cos (pi/3 + (3pi)/4)# We might notice that #75-60=15# so #sin15^@=sin(75^@-60^@)=sin75^@cos60^@-cos75^@sin60^@# BUT we don't know sine and cosine of #75^@#.1. ⇒ cos 75° = cos 435° = cos 795°, and so on. Best answer. 421 2 2 silver badges 14 14 bronze badges $\endgroup$ Click here:point_up_2:to get an answer to your question :writing_hand:find the answer sec 2 10 cot 2 80cfrac sin 15 cos. sin(45−30) sin ( 45 - 30) Separate negation. Join BYJU'S Learning Program. The result can be shown in multiple forms Best Answer. sin (75) = cos ( 90 - 75 ) = cos ( 15 ) II.1. Trigonometry Examples Popular Problems Trigonometry Find the Exact Value sin (75)cos (15) sin(75)cos(15) The exact value of sin(75) is √2 + √6 4. So this won't get us the answer. Follow answered Jun 16, 2021 at 13:46.2k points) trigonometric functions View Solution. √3+1 √2. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Iklan. You can see the Pythagorean-Thereom relationship clearly if you consider To calculate the sine of a half angle sin (x/2), follow these short steps: Write down the angle x and replace it within the sine of half angle formula: sin (x/2) = ± √ [ (1 - cos x)/2]. 7 B. 와. Note that the three identities above all involve squaring and the number 1.

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2. Halo Denara, kakak bantu jawab ya. Sudut 15 derajat merupakan salah satu sudut bukan istimewa yang tentu … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0. Calculation: Given: sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°). Yah, akses pembahasan gratismu habis. S = 0. Simplify each term. Chapter 3 Class 11 Trigonometric Functions.2. $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Tap for more steps Multiply √6−√2 4 ⋅ √6+ √2 4 6 - 2 4 ⋅ 6 + 2 4. Concept Notes & Videos 386. Using fundamental theorem of determinant, ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0, [using sum to product formula] Blog Koma - Rumus dasar sudut ganda trigonometri salah satunya bisa kita gunakan untuk Menghitung Nilai sin dan cos 15 derajat yang akan kita bahas pada artikel ini. Rumusnya mirip dengan pengurangan, hanya tandanya saja yang berbeda. sin75 = sin(45 + 30) = sin45cos30 + sin30cos45 = √2 2 ⋅ √3 2 + 1 2 ⋅ √2 2 The value of Δ = ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣ is[2 marks] View Solution.2. sin 30 sin 15 - cos 30 cos 15 Free trigonometric function calculator - evaluate trigonometric functions step-by-step.9659258. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. What is a basic trigonometric equation? A basic trigonometric equation has the form sin (x)=a, cos (x)=a, tan (x)=a, cot (x)=a. Iklan. Subham Karmakar Subham Karmakar. Halo Megi, Kakak bantu jawab ya. Therefore, the value of cos(75) + cos(15) is (√6 / 2). What is cotangent equal to? Explanation: For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). jika kita melihat soal seperti ini maka bisa kita gunakan rumus trigonometri cos Alfa ditambah cos Beta = 2 cos setengah dikali alfa + beta dikali cos setengah dikali Alfa Min beta dan juga kita gunakan rumus trigonometri Sin Alfa dikurang Sin beta yaitu 2 cos setengah dikali alfa + beta dikali Sin setengah Alfa Min beta disini kita punya soal cos 75 + cos 15Sin 75 dikurang Sin 15 = kita ubah Hai Google jadi disini kita diminta untuk mencari tahu nilai dari cos 75 derajat dikurang cos 15 derajat untuk menyelesaikan soal ini kita bahwa apabila kita punya cos derajat dikurangi B derajat maka akan = min 2 dikali Sin setengah a derajat + b derajat X dengan tin Tengah a Drajat dikurangi B derajat di sini kita punya 75 derajat dan b derajat nya yaitu 15 derajat sehingga Pos75 derajat Find the Exact Value sin(75) Step 1. Steps I took: 1) Finding the value of the left hand side. sin 2 ( t) + cos 2 ( t) = 1. View More. Standard XII.3, 5 (ii) → Ask a doubt. Jawaban terverifikasi. Dapatkan akses pembahasan sepuasnya tanpa batas The value of the expression $2 { {\left ( \sin 15+\sin 75 \right)}^ {2}}$ is 3. Ketuk untuk lebih banyak langkah Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui. Terapkan identitas penjumlahan sudut-sudut. 입니다. Separate negation. Use app Login.3, 5 (ii) → Ask a doubt. The area of R is given by … Trigonometry Find the Exact Value 2sin (75)cos (75) 2sin(75) cos (75) 2 sin ( 75) cos ( 75) Apply the sine double - angle identity. Split into two angles where the values of the six trigonometric functions are known. Best answer. Mathematics. Click here:point_up_2:to get an answer to your question :writing_hand:12 what is value of expression 2 left sin 15 circ. Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 - √2) / 4 ke dalam Section 7. Prove that cos 105° + cos 15° = sin 75° − sin 15°. . Calculati sin 15° + sin 75° - 4066098. 1.3em] \end{vmatrix}\) On expanding the above, ⇒ {cos 15°} {cos 15°} - {sin 15°} {sin 15°} On applying formula cos(A + B) = cos A cos B - sin A sin B = cos (15 + 15) = cos (30°) What is the value of cos 15°? Get the answer to this question and access a vast question bank that is tailored for students. using above formula L H S = 2 sin 75 ∘ sin 15 ∘ = cos ( 75 ∘ − 15 ∘) − cos ( 75 ∘ + 15 ∘) = cos 60 ∘ − cos 90 ∘ = 1 2 − 0 = 1 2 = R H S.1. Tentukan Nilai yang Tepat cos(75)cos(15) Step 1. How to Find the Value of Sin 75 Degrees? The value of sin 75 degrees can be calculated by constructing an angle of 75° with the x-axis, and then finding the coordinates of the corresponding point (0.cáx hníhc ná páĐ . b. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘. 아래는 삼각형의 덧셈정리. sin 75° = sin(150°/2) = ±√ (1 − cos 150°)/2. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Cite. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Free math problem solver answers your trigonometry homework questions with step-by-step explanations. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. bisa langsung masukkan saja angka-angkanya dengan a = 75 derajat dan b = 15 derajat sehingga menjadi cos 75 derajat + cos 15 derajat = 2 cos 75 derajat + 15 derajat per 2 dikali dengan cos 75 derajat dikurang 15 derajat per 2 maka ini kita The value of (cos 75 ∘ − cos 15 ∘) 2 + (sin 75 ∘ − sin 15 ∘) 2 is Q. 결국. Evaluate: cos 15 ° sin 15 ° sin 75 ° cos 75 ° Q. You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 Trigonometry. Positive (+) if the half angle lies on the 1st or 2nd quadrants; or. Use app Login. Register free for online tutoring session! Example: Find sin 75°, which is sin 5π/12. Formula used : (i) cos(A + B) = cos A cos B - sin A sin B. Jawaban terverifikasi. \(\sin \left(75{}^\circ \right)\) 2. Nilai eksak dari adalah . Tap for more steps Combine fractions. Step 7. Find the Exact Value sin(75)+sin(15) Step 1. Step 7.gniwollof eht fo hcae rof eulav tcaxe na dniF . The following (particularly the first of the three below) are called "Pythagorean" identities. sin(75)=cos(?) I. Exact You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. What is cotangent equal to? Explanation: For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). Iklan. sin(30) sin ( 30) The exact value of sin(30) sin ( 30) is 1 2 1 2. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Solution. Calculate s i n 15 o. Understand and calculate the Value of Sin 15 , derivation, formulae, properties and solved examples. Transcript.2588, 0. ∴ sin 15° = (√3−1)/2√2. Nilai eksak dari adalah . Nilai dari cos 75 cos 15-sin 75 sin 15 adalah . Example 3: Find #cos ((13pi)/12)#. Calculate s i n 15 o. So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Q. Split into two angles where the values of the six trigonometric functions are known. tudus nahalmujnep satitnedi nakpareT . Solve your math problems using our free math solver with step-by-step solutions. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. answered Apr 19, 2020 by Nidhi01 (60. Xem lời giải. ⇒ cos 15° = cos 375° = cos 735°, and so on. Nilai dari sin 105 + cos 105 adalah . bisa langsung masukkan saja angka-angkanya dengan a = 75 derajat dan b = 15 derajat sehingga menjadi cos 75 derajat + cos 15 derajat = 2 cos 75 derajat + 15 derajat per 2 dikali dengan cos 75 derajat dikurang 15 derajat per 2 maka ini kita The value of sin75∘+cos75∘ is. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다.9659) on the Prove that cos 2 75° + cos 2 15° = 1. D. Split into two angles where the values of the six trigonometric functions are known. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠.iuhatekid aynirtemonogirt isgnuf mane irad ialin anam id tudus aud idajnem igaB hakgnal kaynab hibel kutnu kuteK . C.3em] sin 15^\circ & cos 15^\circ \\[0. Similar Questions. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The exact value of cos(15°) is found using the half-angle identity and simplifying. S = 4. Negative (-) if it lies on the 3rd or 4th quadrants. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. This year, SSC completely changed the exam pattern. ∴ L H S = R H S Was this answer helpful? 2 Similar Questions Q 1 Prove that: 1+tan (A)tan (A/2) = tan (A)cot (A/2)-1 = sec (A) View Solution jika dapat pertanyaan seperti ini ada 1 rumus yang kita gunakan untuk menyelesaikannya rumus itu adalah 2 Sin a * cos B = Sin a ditambah B ditambah dengan Sin a + b sekarang tidak subtitusikan 75 derajat dengan A dan 15 derajat dengan b dalam pertanyaannya tidak akan dapat 2 Sin a * cos b c lihat dia sama dengan rumus yang saya sudah berikan maka akan = Sin a + b = Sin a + b kita subtitusikan How to find the value of cos 15° - sin 15° using trigonometric formulas? Learn the solution and the concept behind it with BYJU'S, the best online learning platform for maths and science. . cos(150) cos ( 150) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(2⋅15) sin ( 2 ⋅ 15) Multiply 2 2 by 15 15. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of … jika kita melihat soal seperti ini maka bisa kita gunakan rumus trigonometri cos Alfa ditambah cos Beta = 2 cos setengah dikali alfa + beta dikali cos setengah dikali Alfa Min beta dan juga kita gunakan rumus trigonometri Sin Alfa dikurang Sin beta yaitu 2 cos setengah dikali alfa + beta dikali Sin setengah Alfa Min beta disini kita punya soal cos 75 … Get the Free Answr app. D. 3 4. Iklan. ⇒ 1 + sin 30° = t 2. Cos 75° = Sin 15°. Question 3: What is the value of cos(75) – cos(15). 와. cos50 ∘ cos5 ∘ + sin50 ∘ sin5 ∘ = cos(50 ∘ − 5 ∘) = cos45 ∘ = √2 2. Multiply by . The exact value of is . Jika anda membutuhkan rumus-rumus singkatnya, anda bisa SSC CGL Result Out on 6th December 2023. . √ 3 2. A.3. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0. . 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 Master Teacher. ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t. Tap for more steps √6−√2 4 ⋅ √6+ √2 4 6 - 2 4 ⋅ 6 + 2 4 Trigonometry Examples Popular Problems Trigonometry Simplify cos (15)cos (75)-sin (15)sin (75) cos(15)cos(75) - sin(15)sin(75) Simplify each term. Similar Questions. 1 √2. Step 3. (i) sin215 +sin275 cos236 +cos254. 입니다. Tap for more steps (√2 + √6)(√6 + √2) 16 Trigonometry. How do I determine the molecular shape of a molecule? What is the lewis structure for co2? Solution Verified by Toppr sin275∘ −sin215∘ = sin2(90∘ −15∘)−sin215∘ = cos215∘ −sin215∘ = cos2×15∘ = cos30∘ = √3 2 Was this answer helpful? 3 Similar Questions Q 1 Find the value of 1 1+ 1 3− 4 2+ 1 3−(1 2) + 3 3− 4 3+ 1 2−(1 2) View Solution Q 2 Mark the correct alternative in each of the following: The value of sin275∘ −sin215∘ is View Solution Byju's Answer Standard XII Mathematics Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine The value of Question The value of (cos75∘−cos15∘)2+(sin75∘−sin15∘)2 is A 0 B 1 C 1 2 D −1 Solution The correct option is B 1 (cos75∘−cos15∘)2+(sin75∘ −sin15∘)2 = cos275∘ +cos215∘−2cos75∘ cos15∘ +sin275∘ +sin215∘ −2sin75∘sin15∘ Solution Verified by Toppr 2 sin x sin y = cos ( x − y) − cos ( x + y). Step 7. sin 15° = \(\dfrac 12\) 2. join our group for asking your maths doubt pls click below link sin 15° sin 75° + cos 75° cos 15 Dari soal diatas dapat disimpulkan bahwa jenis soal diatas merupakan contoh soal perkalian trigonometri maka kita bisa melihat rumus trigonometri perkalian cos pada uraian diatas yaitu rumusnya adalah 2 cos A cos B = cos (A + B) + cos (A- B) Jawaban : nilai 2 cos 75° cos 15° = cos (75 +15)° + cos (75 - 15)° = cos 90° + cos 60° = 0 + ½ Sederhanakan sin(75)cos(15) Step 1. … Differentiation. . . So, sin x cos x = (1/2) sin 2x.2 Exercises. Join / Login. Tap for more steps Simplify the numerator. Tap for more steps 0 Trigonometry Simplify 2sin (15)cos (15) 2sin(15) cos (15) 2 sin ( 15) cos ( 15) Apply the sine double - angle identity. sin 15° Multiply and divide by 2, we get = \(\dfrac 12\) 2. Tap for more steps √2 + … Trigonometry.2. Given trigonometric ratio: sin 75 ∘. .2. ⇒ 1 + 1/2 = t 2. Spinning The Unit Circle (Evaluating Trig Functions ) If you've ever taken a ferris wheel ride then you know about periodic motion, you go up and down over and over Read More. Selain menggunakan sudut ganda, juga akan menggunakan rumus dasar pengurangan sudut pada trigonometri. cos 15° = sin 75° =. Guides. Step 8. Nilai dari sin 105 + cos 105 adalah . Use a sum or difference identity to find an exact value of cot(5π 12). View Solution. Example 4. A. Share. The SSC CGL Eligibility is a bachelor's degree in the concerned discipline. We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0. ⇒ sin 2 15° + cos 2 15° + 2sin 15°. The value of Δ = ∣ ∣ ∣ cos 15 ∘ sin 15 ∘ sin 75 ∘ cos 75 ∘ ∣ ∣ ∣ is Maka ini adalah 2 * cos a + b lalu sekali kan dengan Sin a kurang b per 2 pada soal ini kita misalkan 75° ini nilainya adalah a per 2 lalu Sedangkan ini 15 derajat itu adalah sebagai a kurang b per 2 sehingga dari sini dapat kita buat suatu persamaan yaitu atas Besok / 2 berarti jika x 1 x 2 maka a + b itu adalah 75 x 2 yaitu 150 derajat The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2. Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step INGAT! 2 sin A cos B = sin (A+B) + sin(A-B) Sehingga diperoleh: 2 sin 75 cos 15 = sin (75+15) + sin (75-15) = sin 90 + sin 60 = 1 + 1/2 √3 Semoga membantu ya.cos x)/tan x adalah Sehingga, sin 15 = ¼ [√6 - √2] Soal : 2. sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2. 아래는 삼각형의 덧셈정리 Find the value of given trigonometric ratio. Rumus yang berlaku pada perkalian sinus dan cosinus sebagai berikut: 2 sin A sin B = cos (A - B) - cos (A + B) 2 cos A cos B = cos (A + B) + cos (A - B) 2 sin A cos B = sin (A + B) + sin (A 3. Textbook Solutions 13653. $\cos 105° + \sin 75°= \cos 105° +\cos 15°= \cos(60+45)+\cos (60-45)$ Check from the above given formulas, and you should get the same answer. .