Evaluate the following expressions. Enter exact answers using fractions. 12 sin cos 13 :)) -D -1 tan sin

Q: Given that sin(a) = 2/5 and cos(b) = − 1/3, with a and b both in the interval {pi/2,pi),find the…

A: Explanation of the answer is as follows

Q: Evaluate the following and show all necessary solutions. Enclose your final answer. tan? x (1+ sin?…

A: The given integrals are; 7. ∫tan2x1+sin2xcos2xdx8.∫-134x-5dx

Q: Which of the following is equal to sin x P

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Q: If sin A = −√65 /65 with 180 ≤ A ≤ 270, find cosA/2

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Q: Evaluate the following expressions. Give an exact answer in radians. V3 (a) sin-1 (b) sin (- 1) = V3…

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Q: Use the given conditions to find the exact value of the expression. 24 COs a = 25 sin a < 0, cos a…

A: The given trigonometric expression is cosα+5π6. The conditions given are cosα=2425 and sinα&lt;0.…

Q: Solve the following. sin? + cos?x = 1 where x E [0, 21)

A: Given: sin2x2+cos2x=1; x∈[0, 2π) We know that 1-cos2θ=2sin2θ…

Q: 10. Find sin 6, given that csc0= а. 12 12 b.- 2 c. 3 3

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Q: Evaluate the following expressions. V2 sin COS 2 -1 tan cos

A: Solve by using inverse trigonometric function

Q: sin x xp = + cos x 1+c

A: ∫0π2sin x1+cos xdx Formula ∫xndx=xn+1n+1+C

Q: Use the given information to find the exact value of: a. sin(α/2)  b. cos(α/2)  c. tan(α/2)

A: It is given that tan α=43 where 180°≤α≤270° so, the angle α is in the third quadrant. So, α2 will…

Q: Which of the following is equivalent to 4 cos? r+ 8 sin? 2 +4 tan? x sin? 2? O 4 sec2 x O 4 tan? a O…

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Q: Simplify the expression V4 x2 as much as possible after substituting 2 sin(0) for x. (Assume 0° < 0…

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Q: Cos x d.x 5. (1+ sin æ)5 6. csc (2x + 1) cot(2x + 1) dæ

A: The given integral is5.∫cos x(1+sinx)5dx6.∫csc3(2x+1)cot(2x+1)dx

Q: Given the following: sin a = and < a <n and cos ß = - and n< <B < a

A: Given: sinα=13, cosβ=-13; π2&lt;α&lt;π, π&lt;β&lt;3π2 we know that cosA+B=cosAcosB-sinAsinB…

Q: Evaluate the following expressions, giving your solutions as exact values: sin() = cos(플) COS tan()

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Q: Evaluate the expression under the given conditions. sin(0 – 4); tan(8) 4' O in Quadrant III, sin(@)…

A: sinθ-φ; tanθ=34, θ in quadrant III, sinφ=-1010, φ in quadrant IV tanθ=34 III quadrant Since both…

Q: For this problem, let sin 6 = 60 and cos e = 11 %3D 61 > 61 » and find tan 0

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Q: Given: sin 0 = , where 0 < 0 < 90 17 Find: cos 20

A: See the answer below

Q: Evaluate the following expressions. Must be an angle in radians and in the interval 2'2] (no decimal…

A: We have to evaluate  sin-1-22,  sin-1-32 and sin-1-1.

Q: Given that sin(a) = 2/3 and cos b = -(1/4)  with both a and b in the interval [pi/2  , pi).  Find…

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Q: Evaluate the following expressions. V3 2 sin cos 2 () tan cos

A: For evaluating sincos-132 let us assume cos x = 32 hence x=cos-132 and  sin x = ±1-322=1-34sin x=…

Q: Find the values of the following. 1. sin(4 + 7j)

A: We have to evaluate sin( 4+7j)  sin(a+bj)=sin a cosh b+j cos a sinh b ⇒sin(4+7j)=sin 4 cosh 7+j cos…

Q: 2. Evaluate the following expressions, using a calculator if necessary: a. tan 46° b. sin 49°12' c.…

A: To calculate the following values

Q: Evaluate the following without using a calculator -1 sin | 2 tan 45 Note: Write your answer as a…

A: Solve the function

Q: Find the exact value of the following expressions: 50 b. sin 8. a. tan 8. C. cos 15° -

A: Here only cos15° having exact value other part a and b value depends upon theta. So i am solving…

Q: y = 2 sin 3x

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: If an answer is undefined, enter DNE. sin (90°) = cos (90°) = %3D

A: To give the value of the following trigonometric ratios. sin90ocos90otan90ocot90osec90ocsc90o

Q: please answer all the parts

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Q: Given that cos 2a = - and 180° < a < 270°, find tan a O 2 1 V5 O -2

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Q: Which of the following is equivalent to sin 4? COS 4 b. COs C 17 tan C 15

A: Solution ) sin A = 15/17 cos A = 8/17 tan A = 15/8  cos C= 15/17 tan C = 8/15 Hence sin A = cos C

Q: If sin A 315 3π 2 where π < A< then cos 2A =

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Q: Evaluate the following expression. Give your answer as an exact value. -1 sin COS 3 %3D

A: We have to evaluate the expression.

Q: Find the exact value of the following expression. TC a. sin 105° b. cos 750 C. tan 12 d. cos 12

A: Here we use half angle formula

Q: b. 4 sin? () + 8 cos() - 7 = 0 for 0<0s 360°

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Q: Sin () 12

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Q: () given that sin x .2, Eくxくπ Find cos and 13

A: Given: sinx=513  and   π2&lt;x&lt;πcosx2=?

Q: What expression is equal to the given expression below? 1-cos 8x 1+cos 4x A. 2 sin 2x B. tan 2x

A: Given: y=1-cos8x1+cos4x We know that 1-cos2θ=2sin2θ…

Q: sin x cSC X 0° 30° 2 V2 45° 2 V3 60° 90° 1

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Q: Find tan 20, given the expression below. * cos 0 and "< 0 < . 2 4

A: Given: cosθ=-14 and π2&lt;θ&lt;π. To find tan2θ. Solution: Given that θ lies in second quadrant. In…

Q: Simplify the expression vx+S1 as much as possible after substituting 9 tan 6 for x. 9 cos e | 9 csc…

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Q: 3. Solve the following, where 0° 0, then find tan 8. 3 c. If cos 8 + 4 = 2, find 0.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the exact value of the following expression. V3 1 sin | 2

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Q: Simplify: cos^4 A − sin^4 A

A: In this question, we need to simplify cos4 A -sin4 A.

Q: What is the formula for sin (A/2)

A: Formula of sin(A/2)

Q: Given a + B = 7, show that 2 – 2 sin (a) sin (B) = cos (@) + cos? (8). %3D

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Q: For cos x = * with a terminal side in Quadrant IV and csc y = with a terminal side in Quadrant II.…

A: Given that cosx = 8/17 and cscy= 29/21. Now find sin(x+y) and tan(x+y). Here i attached solution of…

Q: Evaluate the following expressions. sin 1 COS tan cns ) (), Add Work

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Q: COS Coso xdxx

A: ∫cos6x dxApplying reduction formula with n=6 := cos5x sinx6 + 56∫cos4x dxApplying reduction formula…