00:01
The following equation for x.
00:02
First thing i see is we have two functions.
00:04
So i'm going to take this cosine squared and rewrite that.
00:08
I'm going to write it as one minus sine squared.
00:12
That's an identity we can use, and so then i can have everything in terms of sign.
00:18
Now let's go ahead and finish solving, distributing.
00:21
2 minus 2 sine squared x plus sine x equals to 1.
00:27
Now we have a quadratic, so i need to set it equal to zero.
00:31
I don't like my square terms being negative, so i'm going to take everything here on the left, and i'm going to move it to the right -hand side.
00:38
So i'm going to take all of these and move it to the right.
00:41
So that means i want to have zero equals to one minus two plus two sine squared x minus sine x.
00:52
So let's clean this up a little bit more.
00:54
Two sine squared x minus sine x minus sign x minus one equals to now let's factor.
01:03
I want to have 2 sine x and sine x.
01:06
I want to have 1 and 1.
01:08
Now i need to have a negative here...