Prove the identity. +x + sin 6. sin = cos x

Q: Which expression is equal to cos(6t)?

A: Recall:  cos(2t)=cos2(t)-sin2(t)     Given,   cos(6t)

Q: 2-Simplify first, then determine the exact value. (i - (sin7t/24 + cos7t/24)2

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Q: sinr cos (x - y) - cosx sin (x - )

A: As we know that the trigonometric identities: sinA-B=sinAcosB-cosAsinB   Given:…

Q: (cos x +i sin a)" = cos nx +i sin na -1)

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Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: 3下 2 cos x 1-Sin x

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Q: 10. Prove that (지12 sin 8 cos 1 (cos a cosec 0) de 1/2-a (1-cos a )

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Q: |CoS tan-1 24 1꼭 + cos. -1 3

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Q: 12. Evaluate Cos 0 -sin & - Bin sin 0 Co3 0

A: Given: cosθ−sinθsinθcosθ4

Q: Simplify sin2 θ + tan2 θ + cos2 θ. Using fundamental identities.

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Q: sin cos

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Q: A 17 8 B 15 sin(A) = type your answer. - cos(A) = type your answer. - and tan(A) = type your answer.

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Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

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Q: cos? 2. cos² COS x+ SIn' X I +tan2 x ´x

A: Given : cos2x+sin2x1+tan2x = cos2x

Q: sin 5tdt V1+ cos /1+cos5t

A: We need to evaluate ∫sin 5t dt1+cos 5t                                    (1) Let  1+cos 5t = u On…

Q: Simplify (cos x- sin x)(cos x+ sin x). sin x cos x O 2 cos x-1 2 cos x+1

A: Given: cosx-sinxcosx+sinx