trig problem

[joeiesgirl]

can anyone please explain how to answer this:
solve for theta, 0<=theta,=2pie; sintheta= sinthetacostheta

 

[soroban]

Hello, joeiesgirl!

Solve for \(\displaystyle \theta,\;0\,\le\,\theta\,<\,2\pi:\:\;\;\sin\theta\:=\:\ sin\theta\cdot\cos\theta\)

We have: \(\displaystyle \;\sin\theta\,-\,\sin\theta\cdot\cos\theta\:=\:0\)

Factor: \(\displaystyle \;\sin\theta\cdot(\1\,-\,\cos\theta]\:=\:0\)

Can you finish it now?