Finite Math Examples

$\tan (\frac{π}{2} - x) \sin (x)$

Step 1

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

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

Step 2

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

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

Step 3

Separate fractions.

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

Step 4

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

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

Step 5

Divide $\sin (x)$ by $1$ .

$\sin (x) \tan (\frac{π}{2} - x)$