00:01
Okay, so let's prove this trigonometric identity.
00:05
So first let's take the left side expression.
00:08
That is, we write down lhs and this equals cosecant x, cost squared x plus sine x.
00:20
So first i'm going to rewrite this cosecant x using the reciprocal identity.
00:26
That is one of the reciprocal identity is cosecant x equals 1 over sinex.
00:32
So i'm using this reciprocal identity to replace cosicant x as 1 over sine x.
00:39
So therefore this becomes 1 over sine x times cosecant squared x plus we have sine x.
00:48
And so i can consider this cost squared x as cost squared x over 1.
00:53
So therefore we will simplify the first term.
00:56
1 times of cost squared x is cost squared x and sine x times 1 is sine x times 1 is sine x.
01:04
Plus we have sinex.
01:07
I'm going to consider the second term as a fraction...