Write the following products as a sum or difference (a)sin 2xcos3x (b) cos 5x cos 3x (c)sin4xsin2x (d)cos3xsin6x ?

1 Answer
Aug 28, 2015

Convert products into sums

Explanation:

a. cos 3x.sin 2x = (1/2)(sin 5x - sin 2x)

b. cos 5x.cos 3x = (1/2)(cos 8x - cos 5x)

c. sin 4x.sin 2x = - (1/2)(cos 6x + cos 2x)

d. cos 3x.sin 6x = (1/2)(sin 9x + sin 2x)