How to use the half angle formula for tangent to evaluate for an angle

The video tutorial explains how to work with trigonometric functions, focusing on cosecant and its relationship with sine and cosine. It covers constructing triangles on a coordinate grid, using Pythagorean triples, and analyzing angles in different quadrants. The tutorial also demonstrates calculating the tangent of a half angle and simplifying trigonometric expressions using identities.

Explain how to find the tangent of a half angle using the triangle constructed.

What steps are involved in simplifying the fraction derived from the triangle's sides?