Precalculus Examples

$\cot (\frac{π}{2} - a) \cos (a)$

Step 1

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

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

Step 2

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

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

Step 3

Separate fractions.

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

Step 4

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

$\frac{\cos (a)}{1} \cot (\frac{π}{2} - a)$

Step 5

Divide $\cos (a)$ by $1$ .

$\cos (a) \cot (\frac{π}{2} - a)$