00:01
Okay, so given this equation, my first step that i want to do is i want to get sine of theta completely by itself on the left side of the equation.
00:09
I can get it on the right, but since it's already on the left, i'm just going to move over everything else.
00:13
So i'm going to move over the number that's furthest from sine of theta, which is three.
00:18
So instead of adding three, i'm going to subtract three to both sides.
00:22
On the left side, i'm just left with two times sine of theta.
00:27
2 minus 3 equals negative 1.
00:28
And sine of theta still isn't completely by itself.
00:32
So since i'm multiplying 2, i'm going to divide by 2 to both sides.
00:37
And now i'm looking for all the values of theta that are between, specifically between 0 and 2 pi, that will give me sine of theta equals negative 1 half.
00:54
So, sine is a y value.
00:57
So i know that my y values are going to be negative.
01:01
In the third and the fourth quadrant.
01:05
So i'm looking for two values where sign is negative at one half...