# When does cosecant=2?

##### 1 Answer

Mar 19, 2018

#### Explanation:

We want to solve when

but cosecant is an ugly function. Let's make it into sines and cosines. That's not hard at all:

so therefore we want to find when

This happens in a 30-60-90 triangle! So we can write down a few times that this happens, based on our knowledge of the unit circle:

i.e.