How to verify an identity by combining terms

The video tutorial explains how to combine trigonometric expressions using sine and cosine. It starts by converting expressions into sine and cosine terms, then identifies a common denominator to combine them. The tutorial applies trigonometric identities to simplify the expression, ultimately showing that the expression equals secant of X.

What is the first step the teacher takes to combine the terms in the equation?

Explain how the teacher combines the two terms separated by addition.

What identity does the teacher refer to when discussing sine squared plus cosine squared?

What is the final expression the teacher arrives at after combining the terms?

How does the teacher relate one over cosine of X to secant of X?