How would I solve this equation for x in the interval 0<x<2pi

Question

tan^2x sinx - sinx/3 = 0

Please explain it step by step..ive been stuck on this question for far too long..sigh

Answer 1

Try factoring out sin(x).

Answer 2

how would i do that?

Answer 3

tan^2(x)*sin(x)-sin(x)/3 = 0

can be rewritten as

sin(x) [ tan^2(x) - 1/3] = 0

which is solvable.