Question: a. Use the identity sin 2 A + cos 2 A 1 to show that sin4 A + cos 4 A 1/2 (2

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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