00:01
Hello everyone, we want to graph this complex number and then find the trigonometric form of this number.
00:06
So we have negative 2 times 1 plus squared of 3i.
00:13
And so this is our complex number and we can find the trigonometric form, but first step should be to find the graph.
00:20
And so i'm going to open up a coordinate plane, so right over here.
00:28
And so let's graph it first before we find the trigonometric form.
00:32
So to graph this, we need to expand it first, distribute the negative 2.
00:36
So we get negative 2 minus 2 root 3i.
00:41
So to graph this, we have to split it up into its real and non -real.
00:47
And we essentially graph the real part of this complex number on the x -axis and then the non -real part, the imaginary part, on the y -axis.
00:54
So the real part is simply going to be negative 2.
00:58
So real is negative 2.
00:59
And the imaginary is equal to negative 2 root 3...