Evaluate using Sum and Difference formulas

The video tutorial explains how to evaluate and simplify a trigonometric expression involving the tangent of 30 and 45 degrees. It covers the process of simplifying fractions, rationalizing the denominator using conjugates, and performing final simplifications to achieve the desired result.

What is the tangent of 30 degrees?

What is the common denominator used to simplify the fractions in the expression?

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

How do you combine the terms after rationalizing the denominator?

What is the final simplified form of the expression after all calculations?