How would I solve sinѲ=sin2Ѳ?

1. The problem statement, all variables and given/known data



sinΘ=sin2Θ



2. Relevant equations



Double-angle forumla...

sin2Θ=2sinΘcosΘ



sinΘ=2sinΘcosΘ

sinΘ



3. The attempt at a solution

sinΘ=2sinΘcosΘ

sinΘ-2sinΘcosΘ=0

sinΘ(1-2cosΘ)=0



Now I'm getting stuck because 1-2cosΘ is not an identity of any sort.



Any help would be appreciated...thanks!