00:01
In this problem, we're being asked to find all the solutions to the given equation.
00:04
So i have 2 sin theta plus 1 equals 0.
00:07
So what we want to do first is we want to isolate our trig function.
00:10
So i'm going to treat this like a two -step equation.
00:13
First i'll subtract my constant of 1 from both sides, which leaves us with 2 sin theta equal to negative 1.
00:18
And then we'll divide both sides of our equation by 2.
00:21
So the sin of theta equals negative 1 half.
00:24
So let's first start by thinking about when sin is negative on our...
00:28
Let's first think about the unit circle.
00:30
When is sin negative? well, sin is negative...
00:33
Sin is equivalent to our y -coordinate, which means that y is negative in our third and fourth quadrants...