VERIFY an expression by using the difference of two angles of sine

The video tutorial explains how to simplify the expression sine(π/2 - X) using the difference formula for sine functions. Initially, the cofunction identity is mentioned, but the focus is on proving the expression equals cosine(X) through the sum and difference formulas. The tutorial provides a detailed step-by-step process, labeling the angles and applying the formula, leading to the evaluation and confirmation of the result.

What is the cofunction identity related to the sine of π / 2?

Explain how to use the sum and difference formulas to simplify the sine of π / 2 - X.

Describe the process of applying the difference formula for the sine function in this context.

What are the values of sine and cosine at π / 2, and how do they contribute to the simplification of the expression?

What is the final result of simplifying the sine of π / 2 - X using the difference formula?