Thread: simplify the expression

1. simplify the expression

(1 + cos 2x)/1- cos 2x)

2. Re: simplify the expression

$\dfrac{1+\cos(2x)}{1-\cos(2x)} = \dfrac{1+\cos(2x)}{2} \cdot \dfrac{2}{1-\cos(2x)} = \dfrac{\cos^2{x}}{\sin^2{x}} = \cot^2{x}$

3. Re: simplify the expression

skeeter used the identities that $cos(2x)= 2 cos^2(x)- 1$ so that $1+ cos(2x)= 2 cos^2(x)$ and $cos(2x)= 1- 2 sin^2(x)$ so that $1- cos(2x)= 2sin^2(x)$.