Question: a. By expanding sin (3x + 2x) and sin (3x 2x) using the double-angle formulae, or otherwise, show that sin 5x + sin x

a. By expanding sin (3x + 2x) and sin (3x − 2x) using the double-angle formulae, or otherwise, show that sin 5x + sin x ≡ 2 sin 3x cos 2x.

b. Hence find ∫sin 3x cos 2xdx

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