00:01
So we need to multiply this out.
00:02
And so when i'm looking at it, we can make our life a little bit easier by grouping things together.
00:06
So in the denominator, i'm going to group together the sine x plus cosine x.
00:11
Then i'm going to have a binomial sine x plus cosine x minus 1, and that would have that binomial squared.
00:21
And we can multiply that out.
00:23
Now in the numerator, what i'm going to do is i'm going to factor out this negative here, and i would get cosine x minus 1.
00:30
So what that's going to give me is a difference of two squares, where i have sine x minus cosine x minus 1, and then i have sine x plus cosine x minus 1.
00:44
So i have that difference of two squares.
00:46
Let's start with that one.
00:47
That means i'm going to have sine squared x minus cosine minus 1 squared.
00:53
And now in the denominator, that's going to be sine x plus cosine x squared minus 2 sine x plus cosine x, and then we have plus 1.
01:06
Now we can go ahead and we can simplify this out a little bit further.
01:09
In this numerator, we're going to have sine x...