Hi, I've been working on a question for ages and can't find an answer. This is the first proof I've been asked to do also.

prove:

$\displaystyle \frac{\sin(x)}{1-\cos(x)} = \csc(x) + \cot(x)$

Am I right in to work the LHS like this:

$\displaystyle \sin(x) = \sqrt{1-\cos^2(x)}$

So,

$\displaystyle \sqrt{1-\cos^2(x)} = 1-\cos(x)$ ..? For $\displaystyle \frac{\sin(x)}{\sin(x)}$

So LHS =1?

And what do do with the RHS?

Please help.