How to evaluate the half angle of tangent in radians

The video tutorial explains the application of tangent functions, focusing on two forms involving cosine and sine. It emphasizes using the half angle formula for tangent, particularly when the half angle is π/8, leading to simplification of complex fractions. The tutorial further demonstrates rationalizing denominators and applying the distributive property, highlighting common arithmetic challenges in precalculus.

How does the text suggest handling complex fractions?

According to the text, what common challenges do students face in precalculus?