a. Use the identity sin 2 A + cos 2 A 1 to show that sin4
Question:
a. Use the identity sin2 A + cos2 A ≡ 1 to show that sin4 A + cos4 A ≡ 1/2 (2 − sin2 2A)
b. Deduce that sin4 A + cos4 A ≡ 1/4 (3 + cos 4A).
c. Hence solve 8 sin4 θ + 8 cos4 θ = 7, for 0 < θ < π.
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Lets solve each part step by step a Well start by using the identity sin A cos A 1 We want to show t...View the full answer
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Related Book For 
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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