# How do you simplify the expression cot(arctan (1/x))?

Jul 20, 2016

x

#### Explanation:

If $\tan a = \frac{1}{x} . \cot a = x$.

So, $\cot \tan \left(\frac{1}{x}\right)$

= cotangent of the angle whose tangent is (1/x)

= cotangent of the angle whose cotangent is x

= x..