00:01
We wish to verify this identity here.
00:03
So what we're going to do is we're going to start with the left -hand side, and we're going to try to simplify it until it looks identical to the right -hand side.
00:11
So we can see that the right -hand side will only have sine and cosine, which means we want to change our tangent here in terms of sine and cosine.
00:20
So tangent is sine over cosine, which means we're going to write this as cosex minus cosex over, and this will be 1 minus sine x over cox.
00:35
So the first thing that we're going to do after this is we're going to put these two over common denominator.
00:43
So we're going to change this one to cosex over cosex.
00:47
So we get cosx minus cox, and this is over cosx minus cosx, and this is over cosx minus, cosx.
00:56
X over coex, so this ends up being cos x minus sine x over cos x.
01:04
And since we're dividing by a fraction, we can just multiply by the reciprocal.
01:08
So this becomes cos x minus, multiplying by the reciprocal gives us cost squared x over cos x minus sine x.
01:23
Okay, so we can see that we're almost at this point.
01:29
Our denominator is starting to look similar, but we still have two things, right? so which means now we want to put this over a common denominator again, so which means we need to multiply cosine x by close x minus sine x...