(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

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- Nov 17th 2008, 07:47 PMZabafMore trig identity help?
(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 - Nov 17th 2008, 09:15 PMUnco
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!