Evaluate tangent for the difference of two angles and simplify, tan

The video tutorial explains how to use the tangent difference formula to evaluate the tangent of 225 degrees minus the tangent of 30 degrees. It begins by identifying the angles on the unit circle and calculating their tangent values. The tutorial then demonstrates how to substitute these values into the tangent difference formula and simplify the resulting expression using algebraic techniques, including rationalizing the denominator.

What new insight or understanding did you gain from this video?