Prove:

$\displaystyle

(cot(x) + cosec(x))^2 = \frac{1+cos(x)}{1-cos(x)}

$

And i can get this far but no further:

$\displaystyle

\frac{cos^{2}(x) + 2cos(x) + 1}{1 - cos^{2}(x)}

$

Anyone see my fault? Mybe i need to factorise the top of the factor...hmmmm