Prove the following identities a) cos 5 cos 2 sin cos cos sin 4 b) (4 sin 3 cos) (3 sin 4 cos) 25 c) tan A tan B sin A sin B cos A cos B...

a We can use the formula for the cosine of a sum to expand the lefthand side cos 5 cos 3 2 ...

Prove the following identities a) cos 5 = cos 2 sin cos + cos sin

Question:

Prove the following identities

a) cos⁵ θ = cosθ − 2 sin²θ cosθ + cosθ sin⁴θ

b) (4 sinθ + 3 cosθ)² + (3 sinθ − 4 cosθ)² = 25

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

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Question Posted: Apr 13, 2023 10:57 AM

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Prove the following identities a) cos 5 = cos 2 sin cos + cos sin

Question:

tan² A - tan² B = sin² A - sin² B cos² A cos² B

Step by Step Answer:

a We can use the formula for the cosine of a sum to expand the lefthand side cos 5 cos 3 2 ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

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