Simplifying trig functions being divided

The video tutorial explains how to solve fractions by multiplying with reciprocals, demonstrating this concept with a simple fraction example. It then extends the idea to trigonometry, showing how to simplify expressions by using reciprocals of trigonometric functions. The tutorial emphasizes understanding the simplification process by rewriting functions in terms of sine and cosine, ultimately simplifying to cosecant.

What new insight or understanding did you gain from this video?