# a. Prove that cos 4 2 sin 4 2 cos 4. b. Hence find, for 0

## Question:

a. Prove that cos^{4} 2θ − sin^{4 }2θ ≡ cos 4θ.

b. Hence find, for 0 ≤ θ ≤ 180°, all the solutions of cos^{4} 2θ − sin^{4} 2θ = 1/2.

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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

**Question Details**

Chapter #

**7**Section: Mixed exercise

Problem: 23

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