Don't get rid of your denominators, combine them

This video tutorial explains how to combine denominators in trigonometric fractions without rationalizing them. It covers finding common denominators by multiplying existing ones, using trigonometric identities like the Pythagorean identities, and simplifying expressions by rewriting them in terms of sines and cosines. The tutorial emphasizes the importance of understanding trigonometric identities to simplify complex expressions effectively.

How can you simplify the expression involving secant and tangent functions?

What happens when you multiply by the reciprocal of sine squared over cosine squared?

In what way can grouping terms help in simplifying trigonometric expressions?