Use a​ product-to-sum identity to rewrite the expression.

Question

sin 5t cos 2t

a. 0.5(sin 7t - sin 3t)

b. 0.5(cos 7t - cos 3t)

c. 0.5(sin 7t + sin 3t)

d. 0.5(cos 7t + sin 7t)

Answer 1

Use the formula sin x cos y = 0.5[sin (x+y) +sin(x-y)], x = 5t, y=2t

So the answer is .5[sin7t+sin3t]