# Math Help - Simplifying a trig function

1. ## Simplifying a trig function

Simplify the following function:

(sec^2x-1)/(sinx)

Thanks for any help!

2. Originally Posted by live_laugh_luv27
Simplify the following function:

(sec^2x-1)/(sinx)

Thanks for any help!
use this Pythagorean identity to help ...

$
1 + \tan^2{x} = \sec^2{x}
$

3. I did this, and got tan^2x/sinx, and simplified to sinx/cos^2x. Now I'm stuck. Can I simplify this further?

4. Originally Posted by live_laugh_luv27
I did this, and got tan^2x/sinx, and simplified to sinx/cos^2x. Now I'm stuck. Can I simplify this further?
$\frac{\sin{x}}{\cos^2{x}} = \frac{1}{\cos{x}} \cdot \frac{\sin{x}}{\cos{x}} =$ ?