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
c)
Transcribed Image Text:
tan² A - tan² B = sin² A - sin² B cos² A cos² B
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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
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Related Book For
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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