# How do you find cot pi/4 in terms of radians?

Mar 4, 2018

$\cot \left(\frac{\pi}{4}\right) = 1$

#### Explanation:

By definition:

$\cot \left(\frac{\pi}{4}\right) = \cos \frac{\frac{\pi}{4}}{\sin} \left(\frac{\pi}{4}\right)$

Both sine and cosine of $\frac{\pi}{4}$ are well known results, giving us:

$\cot \left(\frac{\pi}{4}\right) = \frac{\frac{1}{2} \sqrt{2}}{\frac{1}{2} \sqrt{2}} = 1$