Trigonometryhard · Past Paper

Simplify: 2 cos(π/4 + A) cos(π/4 - A).

Acos 2A
Bsin 2A
Ccos² A
Dsin² A

✓ Correct Answer: Acos 2A

Using 2 cos X cos Y = cos(X+Y) + cos(X-Y): cos(π/2) + cos(2A) = 0 + cos 2A = cos 2A.

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