Find the exact value of the following: -[sin() cos(-)| cos(-") + sin() (177 33n 4 1. 231 37T 3 2

Q: 16) If Sin A = where 0 < A <; 2 12 Cos B = where 13 < B < 2n 2 then find the value of ... Cos 2B Sin…

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Q: 9 Find 0 if 0 < 0 < 2n and: e cos 0 = - f sin? 0 = 1 9 cos? 0 : 1 %3D /2

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Q: 17 Find the exact value of cos20 given csc0 and -< 0 < TI 8.

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Q: 8. Find the exact value of cos 75°.

A: Given cos75°We need to find th exact value of cos75°

Q: Find the exact value of the expression. sin 4 12 sin 4 12 CoS Cos 1 O A. 4 V3 О в. 1 О с. 2 O D. 1

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Q: 4. Solve the following equations on the interval 0 < 0 < 27 3 cos 0 + 3 = 2 sin² 0 а. b. sin (20) +…

A: As given expressions and intervals is 0≤θ&lt;2π a)  3cosθ+3=2sin2θ 3cosθ+3-2sin2θ=0 Consider…

Q: What are the two values of k closest to 1 - 4 for which S sin? (x +4) – cos² (x + 4) dæ has a value…

A: The solution is given in the next step.

Q: 2. Solve the following using an appropriate cofunction identity. sin 4 = = COS X

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Q: 3 5 3n If cos x = - 5 , where sin (x - y). , and cot y = 12 , where 2 determine the exact value of

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Q: 2.) Find the exact value of: a) cos COS b) sin 75°

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Q: Solve the following equations for 0 < x < 2n. 7. cos x = 3 cos x + 1 8. tan? x = 1

A: According to guidelines we should have been able to solve only one question at a time  #7

Q: 4. If 0° <0 < 90° and cos e= , find cos 20.

A: Here given as

Q: 6) Let sin 0 - for n <0 < Find the exact value of: %3D 2. a) cos 0 b) tan 0

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Q: 4. Find the exact values of the following, if they exist. a. cos-1 2 C. arccos (cosn) b. cos (cos(-)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Determine the following: a) sin^-1(√2/2) b) cos^-1(-√2/2) c) cos^-1(tan(π/4)) d)…

A: Solution of the problem as follows

Q: Give the EXACT values for the quantities. (a) sin 19π/4 = (b) cos −14π/3 = (c) cos −5π/6

A: Note: - Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: e. cos 20 + 14 sin? 0 = 10 over [0°, 360°)

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Q: 10. What should be the value of A so that S A• sin (6x²) dx = - cos(6x²) + C, ? A. x В. 2х С. Зх D.…

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Q: 14. Find the exact value of sin(-) if cos(r) 1 and 270° < x << 340°. ii) ii) - 2 iv) not listed

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Q: 8 Let sin A = - 12 with 270° < AS 360° and cos B = with 90° < B s 180° and find the following. 17 13…

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Q: 9 Find 0 if 0<0 < 2n and: d sin 0 = 1 h cos? 0 = i tan 0: i tan? 0 = 3

A: To find θ if 0 ≤ θ ≤ 2π  sin θ = 1cos2 θ = 12tan θ = -13tan2 θ = 3

Q: 2. Find the exact value of the following a. cos 12 b. sin (70°) cos (40°) – cos (70°) sin (40°)

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Q: 85. Evaluate cos (90° – sin-1) a) + V15 2-V15 b) unde fined c) +V15 4-V15 2-V15 d) + e)

A: Given:

Q: If sin A=1/√10 with A in QII find cos 2A.

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Q: 4 595 cos a sin adx= x sin*

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Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: 4. Evaluate the following in terms of Gamma function sin (4r) cos (2r)dr

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Q: 2 sin(0) <0 <T Given that 3 and 2 what is the exact value of cos(20)?

A: follow the procedure given below.

Q: 8. Apply the formula for cos (A-B) to the identity sin 0= cos E -0) to obtain the addition formula…

A: We have the Identity: sin θ=cosπ2-θ Now, we have sin(A+B)=cos π2-(A+B) (Using above identity)…

Q: 15. Find the following EXACT: (a) sin[cos'(2/3)] (b) sin[tan(-6)]

A: We use sin[cos-1(x)]= √(1-x2) and sin[tan-1(x)]=x/√(1+x2)

Q: 11. Prove the following identity. 1- cos e cos20 + 3 cos 0 + 2 2+ cos 0 sin'e b) - = 1+ cot?x sinx

A: Here i use Trigonometry identities

Q: Question in image.

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Q: 17 Given that cos 0= <0<T, find the exact value of each of the following. 3 2 (a) sin (20) (b) cos…

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Q: If sin A = 65 with 180° < AS 270°, find cos 2A and cos 65 Cos 2A = COS 2

A: To find the value of the following,

Q: 1. Use an identity to find the value of cos (0+ 90°). sin 0 cos 0 O - cos 0 O - sin e

A: We have to find the following

Q: 1. Find the exact value of cos 7x/12

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Q: 1 Find the exact value of cos(20) if sin(0) O 3 7 9. /3 3 1/9

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Q: 2. Given sin a = with 0< a < 90°, find cos 2a and tan a/2.

A: Using trigonometric formulas

Q: 3. Solve the following trigonometric equation for 0: 2 cos 0 – 5 cos 0 + 2 = 0 -

A: Given equation is 2cos2θ-5cosθ+2=0Let cosθ=xSo, 2x2-5x+2=0We know that for a quadratic equation…

Q: 7. Given that sin a 15 and tan 2ß where a and 2ß lie in the interval ( 3t, 2 a) cos 2a b) sin B

A: Given that: sinα=-815tan2β=125

Q: d) Verify the following identity cos 0 + sin e = 2secs e 1+ sin 0 cos 0

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Q: 12 If cos(a) = with T<a<- compute the exact value of the following: 2 cos(2a)=| sin tan)- 2

A: cos(α)=-22 with π&lt;α&lt;3π2

Q: Find the value of cos-1(2) using Euler's formula.

A: We find cos-1(2) , by using Euler's formula.

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Q: Solve for Hthe value of e for 0°ses 360 ciy. 9 cos 20-4 sin 20 = 6 %3D

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Q: 17. Choose the best answer. (- - ) Ifain ( - ). cos z and sin 3 find cos 2 2 1 2 V3 2

A: Here we have to find the value of cos(pi/6).

Q: *Find the exact value of the given functions: cos (sin-¹ + cos-¹5/3) 13 9.

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Q: S(x) - e 05 (2 cos 2.x+3sin 2.x) 7. , evaluated at x 1 rad

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Q: 17. Give the EXACT values for the quantities. (a) sin = (b) cos = (c) cos- = (d) cos

A: Topic = Trigonometry