Trouble proving identity: [ sin^3(x) + sin(x)cos^2(x) ] / cos(x) = tan(x)

[Duderino^2]

Proving the following identity is ... Proving (hehe) to be more difficult than I anticipated. Help?

[ sin³(x) + sin(x)cos²(x) ] / cos(x) = tan(x)

 

[stapel]

Proving the following identity is ... Proving (hehe) to be more difficult than I anticipated. Help?

[ sin³(x) + sin(x)cos²(x) ] / cos(x) = tan(x)

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

For instance, you took the common factor of the numerator on the left-hand side out front, simplified what was left, looked at the remaining ratio, and... then what?

Please be complete. Thank you!