Evaluating the composition of inverse functions

The video tutorial explains how to find the cotangent of the arctangent of X. It begins by introducing the concept and then moves on to understanding the arctangent and creating a triangle. The teacher explains the relationship between the sides of the triangle using the Pythagorean theorem. After solving for the unknown sides, the teacher simplifies the problem, concluding that the cotangent is simply 1/X, without needing to find the hypotenuse.

What are the quadrants in which the tangent function is defined?

Describe the steps taken to solve for the hypotenuse in the triangle discussed.