(cos x) ^2 * csc x
------------------------- + sin x=1
(1+csc x)
Best I could simplify it was
Cos^2
-----------
sin + sin=1
-----------
(1+csc x)
Help is appreciated, I suck at identities
Hi Zabaf,
It's a bit hard to tell what you wrote in your attempt. A good first step might be to write the csc's in the left-hand side in terms of sin's. That gives you
$\displaystyle
\text{LHS} = \displaystyle \frac{\cos^{2}{x}\cdot \frac{1}{\sin{x}}}{1 + \frac{1}{\sin{x}}} + \sin{x}$
A good next step would then seem to be to multiply the top and bottom of the quotient on the left by sin(x).
The next step is over to you!