I have been trying to figure out how to solve this question but I can't find the right answer... Can anyone help me please?

I have been trying to figure out how to solve this question but I can't find the right answer... Can anyone help me please?

Decompose Amplitude Modulated signal Asin(wct)sin(wmt) into a sum of simple periodic functions, sines and cosines. wc is the so called carrier frequency and wm is the modulation frequency.