Trigonometry Examples

$\frac{1 - \sin^{2} (x)}{\sin (x) - \csc (x)}$

Step 1

Apply pythagorean identity.

$\frac{\cos^{2} (x)}{\sin (x) - \csc (x)}$

Step 2

Rewrite $\csc (x)$ in terms of sines and cosines.

$\frac{\cos^{2} (x)}{\sin (x) - \frac{1}{\sin (x)}}$

Step 3

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

$\frac{\cos^{2} (x)}{\sin (x) - \csc (x)}$