Trigonometry Examples

$\frac{\tan (\frac{π}{2} - x)}{\csc (x)}$

Step 1

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

$\frac{\tan (\frac{π}{2} - x)}{\frac{1}{\sin (x)}}$

Step 2

Rewrite $\tan (\frac{π}{2} - x)$ in terms of sines and cosines.

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

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (x)}$ .

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

Step 4

Convert from $\frac{\sin (\frac{π}{2} - x) \sin (x)}{\cos (\frac{π}{2} - x)}$ to $\sin (\frac{π}{2} - x) \tan (\frac{π}{2} - x)$ .

$\sin (\frac{π}{2} - x) \tan (\frac{π}{2} - x)$