Prove that the following identity is true. sin4 A − cos4 A = 1 − 2 cos2 A We begin by factoring the left side of the equation. We can then use the Pythagorean Identities to simplify.

Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

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Q: If cos(0) = 2, and 0 is in Quadrant II, then what is sin (:)? Give an exact answer, using radicals…

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Q: В 16 12 20 Find the Sine, Cosine and Tangent of Angle A. Give your answer as a fraction is simplest…

A: The figure of the triangle is given by To evaluate : The values of sinA, cosA and tanA

Q: Solve the following problems. Find sin 60°, cos 60°, tan 60°, and cot 60°. 60° sin 60° Cos 60° tan…

A: To find the given trigonometric functions we need to identify the sides of the triangle. With…

Q: Use the triangle below to answer #5 and #6 14 5. Which of the following equations can be used to…

A: 5. Since the opposite side is x and adjacent side is 14, Therefore we can use tan71°=x14 to solve…

Q: Prove that the following identity is true. sec2 e – tan? e = 1 We begin on the left side of the…

A: We need to prove the following trigonometric identity sec2θ-tan2θ = 1

Q: Given that cos0 = <0<1, find the exact value of each of the following. 6 2 (a) sin (20) (b) cos (20)…

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Q: If sin 0 = 0<0< 2' find the exact value of each of the following. (a) sin (20) (b) cos (20) (c) sin…

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Q: If sin 0 = 24,0<0< 25 (a) sin (20) π find the exact value of each of the following. 2 Ꮎ 2 (b) cos

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Q: Prove that the equation is an identity. 6 sin? t – 6 cos2t = 6 - 6 cot² t 1 + cot? t

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Q: 40 180° <a<270°, then find the exact value of each of the following. If tan a = 9 α a. sin 2 b. cos…

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Q: Given that sin A= 55/73. Find cos A.

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Q: If sec 0 = 6, sin 0>0, find the exact value of each of the following for 0se<2x. (a) sin (20) (b)…

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Q: You are given that cos(A) = with A in Quadrant I, and sin(B) = 3 %3D 24 -, with B in Quadrant III.…

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Q: 37 Given cos 0 = < 0 < 2T 2 find the value of Sin(20). Show all your and work! 45

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Q: cos 12 cos 12 + sin 12 IT sin 12 cos

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Q: Prove that the following identity is true. cot ? cos ? + sin ? = csc ? We begin by writing the left…

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Q: You are given that cos(A)=−45, with A in Quadrant II, and sin(B)=−2425, with B in Quadrant III. Find…

A: cosA=-45; A in Q2sinB=-2425; B in  Q3sinA+B=?step1:Find sinA, cosB By pythagorean…

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

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Q: Given Sin 55°x 0.82 Find cos 35° 55 B

A: Given that : - sin 55°≈0.82 cos 35°=?

Q: Prove that the given equation is an identity. sin 30 = 3 sin e - 4 sin3 e Working from the left-hand…

A: Given that, sin(3θ)=3sinθ-4sin3θ We have to prove that sin(3θ)=3sinθ-4sin3θ is an identity. First,…

Q: 1. Suppose that a is an angle in standard position and that the terminal side of a is in the first…

A: Given that the terminal side of the angle Alpha lies in the first quadrant. This implies that Alpha…

Q: You are given that sin(A)=8/17, with A in Quadrant II, and cos(B)=−5/13, with B in Quadrant II. Find…

A: We are given that sin(A)=8/17, with A in Quadrant II, and cos(B)=−5/13, with B in Quadrant II.…

Q: If sec 0 = 4, sin 0>0, find the exact value of each of the following for 0s0< 2r. (a) sin (20) (b)…

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Q: 1 and 0 is in the 2nd quadrant, find sin(0) 9 If cos(0)

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Q: with a in quadrant II, and 5' given that cos a = sin B = 7' 3 with B in quadrant IV. -- 57. sin (a -…

A: 59. The given data is: cosα=-25, α in quadrant IIsinβ=-37, β in quadrant IV    To find the value of…

Q: photo attached

A: The given identity is

Q: Use a double-angle identity to find the exact value of the expression. 2 sin 15° cos 15° Choose the…

A: Given   2sin(15°)cos(15°)[sin2thita=2sin(thita)cos(thita)] = Sin(2×15)  =Sin30° = 1/2

Q: photo attached

A: From reciprocal property of trigonometry we know sec theta = 1/cos theta

Q: 5 If sin 0 =- 6:0<e<5, find the exact value of each of the following. (a) sin (20) (b) cos (20) (c)…

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Q: Prove that the following identity is true. cot 0 cos 0 + sin 0 = csc 0 We begin by writing the left…

A: The given identity is,

Q: Given that cos 0 = - <0 <T, find the exact value of each of the following. 5 '2 (a) sin (20) (b) cos…

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Q: 5. Is the equation cos 0 – sin 0 = 1 an identity? If so, verify it. If not, explain why.

A: We have to check

Q: 12. sin 82.5° cos 37.5°

A: Since :  Sin(82.5°) Cos(37.5°).

Q: An object dropped from the top of the Leaning Tower of Pisa lands 17 feet from the base. F17 ft-…

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Q: Prove that the following identity is true. cos? e 1- sin e 1 + sin e = We begin by writing the right…

A: The objective of the problem is to prove the given identity. 1+sinθ=cos2θ1-sinθ The Pythagorean…

Q: Prove the following identity. sin 4A = 4 sin A cos3 A - 4 sin3 A cos A We begin by using a…

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Q: If sin 0 = 0< 0<5, find the exact value of each of the following. 41' 2 (a) sin (20) (b) cos (20)…

A: Given that: sinθ=4041   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Next Using a double-angle or half-angle formula to simplify the given expressions. (a) If 2…

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Q: Prove that the following identity is true. tan A = sin A sec A We begin by writing the left side of…

A: Here we have to prove

Q: If sec 0 = 4, sin 0>0, find the exact value of each of the following for 0s0<2r. (a) sin (20) (b)…

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Q: Prove that the given equation is an identity. (sin 8 cos 8)2 = 1 - sin 20 Multiply out the left-hand…

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Q: 3. Solve the following trigonometric equations and give all solutions. )tan a - sin a - V3 sin a = 0…

A: Given: (a). tanα .sinα -√3sinα = 0        tanα.sinα = √3sinα  both side dividing by cosα,…

Q: If sin a = 3/5, cos β = - 13/37, and 0 < a < π/2 < β < π, find cos(a + β)

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Q: You are given that sin(A) = , with A in Quadrant II, and cos(B) = -,with B in Quadrant II. Find…

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Q: Prove the following identity. sin 4A = 4 sin A cos3 A − 4 sin3 A cos A We begin by using a…

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Q: You are given that sin(A) with A in 25 12 - Quadrant IV, and sin(B) Quadrant III. Find cos(A + B).…

A: In 4th quadrant cosx is positive and sinx is negative . In 3rd quadrant both sin and cos are…

Q: Find the exact value for the following two questions. cos 5?/12 = sin 165° =

A: To calculate the exact value of trigonometric functions

Q: Find the exact values of sin 2a, cos 2a, and tan 2a given the following information. 15 tan a = 270°…

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Q: cos( 75° ) sin( 195° ) Report below the exact answer. Your attached work must show at least one use…

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