Trigonometry Examples

$\cot (\frac{π}{2} - x) \cos (x)$

Step 1

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

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

Step 2

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

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

Step 3

Separate fractions.

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

Step 4

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

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

Step 5

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

$\cos (x) \cot (\frac{π}{2} - x)$