Hi there, the question states

Prove algebraically: $\displaystyle \cos\theta/1-sin\theta$ = $\displaystyle sec\theta +(sec\theta)(csc\theta)-cot\theta$

Here are the steps i took to solving this i worked on the right side making it equal the left

1) change all sec/ csc/ cot to their respective forms ($\displaystyle \1/sin\theta)$ and so forth

and when i get to this point I'm lost $\displaystyle \frac{sin\theta +1 - cos\theta^2} {cos\theta sin\theta} $

After this point I'm lost please help, i apologize if i have asked too many questions but i am trying to study for my final.

Thanks!