# How do you simplify #(csc² t - cot² t) / sin² t#?

##### 1 Answer

Mar 4, 2018

#### Explanation:

I like just sines and cosines, so let's work with those:

Let's get rid of the fractions up top by multiplying top and bottom by

Because

In hindsight, we could have also realized that there is a trig identity that

but that involves memorization, whereas the first thing doesn't.