Evaluate the sum of two angles using tangent

The video tutorial explains how to use the tangent identity to solve a trigonometric expression. It begins by identifying angles and their signs, then calculates the tangent of specific angles. The process involves rationalizing the denominator and simplifying the expression to reach the final answer. The tutorial provides a step-by-step approach to understanding and applying these mathematical concepts.

What is the significance of the tangent identity used in this context?

Explain the process of rationalizing the denominator in the given expression.