Thread: Need help with a proof

1. Need help with a proof

Been trying to do this proof for a while and I can't seem to solve it:
Solve by using pythagorean identities:

sinx/1-cosx + sinx/1+cosx = 2cscx

Help much appreciated.

2. Re: Need help with a proof

Ill get you started

LHS:
$\displaystyle \sin(x) \left ( \frac{1}{1-\cos(x)} + \frac{1}{1+\cos(x)} \right)$

$\displaystyle \sin(x) \left [ \frac{1+\cos(x) + 1 -\cos(x)}{(1-\cos(x))(1+\cos(x))} \right]$

Don't forget the most important trig identity
$\displaystyle \sin(x)^2 + \cos(x)^2 = 1$

3. Re: Need help with a proof

Thanks for the help. Got it solved