Evaluate the sum of two angles using the tangent formula, tan

The video tutorial explains how to solve a problem involving the tangent of 105 degrees using the tangent sum formula. It covers evaluating the tangent of 60 and 45 degrees, applying the sum formula, and finalizing the solution by removing radicals from the denominator using the conjugate. The tutorial emphasizes understanding the unit circle and the importance of correctly applying mathematical formulas.

What is the tangent of 45 degrees and how is it derived?

Explain how to evaluate the tangent of 60 degrees using the unit circle.

Describe the process of applying the tangent sum formula.

What is the significance of using the conjugate when simplifying the final answer?

How do you arrive at the final answer of -2 - sqrt 3 in the problem discussed?