trigonometry – Trigonometric question combined with questions about Mathematica

I’m new to Mathematica and I am struggling with the Syntax and the functions of this “programming” language.

I’m looking for a way to solve sin2 α cos3 α = tan4 α

But if I try to run it through the Solve[] function I recieve an error.

I’m not looking for hand holding and having someone give me the answer. What I am trying to do is to learn which functions work where and how I successfully can calculate questions like these in Mathematica.