Simplify by finding the sum of rational expressions using even odd identities

The video tutorial covers the concepts of even and odd trigonometric functions, focusing on sine and cosine. It explains how the sine function is odd, meaning the sine of negative X equals the negative sine of X, while the cosine function is even, meaning the cosine of negative X equals the cosine of X. The tutorial also discusses other even functions like quadratics and demonstrates how to simplify trigonometric expressions using these identities, resulting in expressions like negative two times the tangent of X.

What is the relationship between sine and tangent functions as discussed in the text?

Describe the significance of even and odd identities in simplifying trigonometric functions.