Question: a. Prove that cos 4 2 sin 4 2 cos 4. b. Hence find, for 0 180, all the solutions

a. Prove that cos4 2θ − sin4 2θ ≡ cos 4θ.

b. Hence find, for 0 ≤ θ ≤ 180°, all the solutions of cos4 2θ − sin4 2θ = 1/2.

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