Hey, in pre-cal we're going over some of the stuff we learned this semester. Unfortunately for me, I have forgotten a bit of it:

So, here's the problem:

Solve the equation:

sin2x + cos3x = 0 for [0, 2pi)

I wish I could just graph it, but I have to do it algebraically and show all work. Any clues as to how to approach this would be appreciated

Thanks