I need to know in steps how to prove this identity, if anyone minds helping. Thanks!
Are you even attempting?
You should be able to recognize that the cos(x) in the numerator and the denominator cancel each other out. So you are left with $\displaystyle \cos(x)\sin(x)\dfrac{\sin(x)}{\cos(x)} = \sin(x)\sin(x)=\sin^2(x)$
You have been told in your previous post that $\displaystyle sin^2(x)+cos^2(x)=1$. based on that, $\displaystyle \sin^2(x)= ??$
I didn't realize they canceled each other out, but when I did the equation myself I canceled them out anyway. When I was left with I just added the negative to the other side to make a positive, thus making it all equal one. I thought I was doing it wrong though, since I didn't know they canceled. Thanks for clarification.