Two questions for now:

1. Simplify sin$\displaystyle \theta$/1+cos$\displaystyle \theta$ * 1-sin^2$\displaystyle \theta$/cot$\displaystyle \theta$.

I got as far as sin^2$\displaystyle \theta$cos$\displaystyle \theta$/1 + cos$\displaystyle \theta$. Is there any further i can go??

2. Simplify sin^3$\displaystyle \theta$-cos^3$\displaystyle \theta$/sin^2$\displaystyle \theta$-cos^2$\displaystyle \theta$.

Can i use difference and sum of cubes here to factorise or is this not possible?

Thanks!

Steven