how would you solve
tan (squared) theta/ tan of theta + tan theta csc theta
Firstly, this cannot be solved because this isn't an equation. You might mean simplify. Do you know what $\displaystyle \frac{\tan^2(x)}{\tan(x)}$ is? For the second term, use the facts that $\displaystyle \tan(x)=\frac{\sin(x)}{\cos(x)}$ and $\displaystyle \csc(x)=\frac{1}{\sin(x)}$