00:01
Alright, so for this exercise, we are going to simplify the expression cosecant of x plus cosine of x times cotangent of negative x.
00:19
So let's recall that the cotangent function is equal to the cosine function over the sine function.
00:33
And then this is just one of our basic trigonometric identities.
00:38
So, oh, and the co -secon function is equal to the reciprocal of the sine function.
00:52
All right, so i'm going to rewrite this expression right here as cosine of x times cosine, over sine of negative x.
01:18
All right, so recall that because cosine is an even function, we can take this negative symbol away and we'll still have a cosine function.
01:28
Likewise, since sine is an odd function, actually here, i'll just go ahead and write that out once again.
01:44
That's a negative symbol...