Question

Find all solutions in the interval (0,2pi) you should get kpi and pi/4 but how do you get there

Answer 1

Add sin(x) to both sides

tan(x)sin(x)=sin(x)

Divide sin(x) from both sides

tan(x)=1

now you just have to figure out where tan(x)=1. you can figure this out from there by looking at the unit circle.