can anybody explain how I answer this question I really don't get trig equations

SinØ(TanØ+2)=3cosØ -----[pulling like terms out]
for the following steps The easiest 4 me is that I just plug in values between 0° and 180° for Ø and see which will help me to get equal numbers on both sides.
So, for instance if you use Ø=90°, you'll get the following, Sin90(Tan90+2)=3cos90
========> 1(1+2)=3(1) ==> 3=3
so 90° is one of the solutions ur looking for.
hope this was helpful