Pre-Calculus - how to add two trigonometric expressions without finding the LCD

The video tutorial addresses the challenge of adding fractions involving trigonometric functions, specifically cosecant and secant. It introduces an alternative approach using reciprocal identities to simplify the expression. By rewriting the terms and applying Pythagorean identities, the expression is simplified to a basic form. The tutorial concludes with a summary of the simplification process.

Explain the process of rewriting fractions to find a common denominator.

What is the common denominator needed to add the fractions involving cosecant and secant?

How can the expression involving sine and cosecant be rewritten?

What identity is used to simplify sine squared plus cosine squared?

What is the final result of simplifying the trigonometric equation discussed?