Applying the sum of two angles tangent formula

The video tutorial explains how to apply the tangent formula to the sum of two angles, using the unit circle for evaluation. It covers the importance of understanding the quadrants and the sign of tangent values in different quadrants. The tutorial also addresses simplifying complex fractions and rationalizing the denominator in the final expression.

What is the formula for tangent when adding two angles?

How do you evaluate the tangent of 7π/4 and 5π/6 using the unit circle?

In which quadrants are the angles 7π/4 and 5π/6 located?

What do we know about the tangent function in the second and fourth quadrants?

What is the process to simplify complex fractions?

What is the common denominator for the fractions involved in the tangent addition formula?

Explain how to rationalize the denominator in the context of this problem.