00:01
In this problem, we're being asked to solve the given equation on the domain from, in degrees, notice, from 0 to 360.
00:08
Well, if you take a look at your equation, you'll notice that it's actually already factored for us.
00:12
So what we're going to do is we're going to set both of our factors equal to 0.
00:16
So our first factor is the cosine of x, so we'll set that equal to 0.
00:19
And our second factor is 2 sine of x minus 1 equal to 0.
00:24
So now let's go ahead and solve that first equation.
00:26
The cosine of x is equal to 0.
00:29
Now think about your unit circle.
00:30
Remember, cosine refers to our x -coordinate.
00:33
So if we're thinking about when x is equal to 0, we would be along our y -axis.
00:38
So that means that x could be 90 degrees or that x could be 270 degrees.
00:43
So those will be two of our solutions.
00:46
Now to solve the next equation, the first thing we need to do is isolate the sine of x...