How to add and simplify two trigonometric expressions

The video tutorial covers adding fractions with different denominators by finding common denominators. It then transitions to using cofunction identities to convert trigonometric expressions into fractions, again finding common denominators. The tutorial concludes by simplifying these expressions using Pythagorean identities, demonstrating how sine squared plus cosine squared equals one, and further simplifying to cosecant and secant.

What is the Pythagorean identity involving sine squared and cosine squared?

How can you simplify the expression one over sine of Theta and cosine of Theta?