Rewrite 4 sin 3 theta cos 2 theta as a sum or difference

Question

Could you show me how to us the product-to-sum method to find the answer? Thanks!

Answer 1

4 sin 3θ cos 2θ

4(sin 3θ cos 2θ)

4(0.5(sin 3θ+2θ - sin 3θ-2θ))

2(sin 5θ - sin θ)

2sin 5θ - 2sin θ