Simplify a trigonometric expression using difference of two squares

The video tutorial explains how to simplify rational expressions by using the conjugate and Pythagorean identities. It highlights the importance of recognizing the difference of squares and demonstrates how to transform expressions for simplification. The tutorial concludes with a step-by-step simplification process, resulting in a simplified expression.

How can the expression '1 minus sine squared of Y' be rewritten, and what does it represent?

What is the final simplified form of the expression discussed in the text, and how was it derived?