00:01
Okay, so we want to verify that 1 minus cosine over sine plus sine over 1 minus cosine is equal to 2 cosecant.
00:12
So let's go ahead and take this left hand side and let's cross multiply so that we have a common denominator.
00:19
So we would get 1 plus cosine squared plus sine squared, all divided by sine times 1 minus cosine.
00:28
Excuse me, 1 minus cosine squared.
00:57
Okay, and then maybe we can simplify the numerator here.
01:02
1 minus cosine squared is sine squared.
01:06
There we go.
01:08
So this would be equal to sine squared plus sine squared over sine times one minus cosine.
01:16
These signs are going to cancel out, so this would just be 2 sine over 1 minus cosine.
01:44
Maybe we can do it like this.
01:47
We also know that sine squared equals 1 minus cosine squared squared.
02:03
And so instead of that, let's go the other direction...