# How do you find the exact values of tan^-1 1?

Nov 19, 2016

$\frac{\pi}{4}$

#### Explanation:

Consider the triangle

The tangent function for acute angles can be viewed as the ratio of the opposite to the adjacent side of the angle.

If the ratio is 1, it means that the triangle is a right angle isosceles and therefore the corresponding angle is 45 degrees of $\frac{\pi}{4}$ rad.