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Hello everyone, welcome.
00:02
We want to represent the complex number graphically and then find its trigonometric form.
00:06
So we have negative 8 minus 5 root 3i.
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And so we have to find the coordinate point that this gives us, which is negative 8 comma negative 5 root 3.
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And the reason is because you always graph the real part of the complex number on the x -axis and the imaginary part on the y -axis.
00:23
So negative 8 comma negative 5 root 3 will give us a point right about here, right about here.
00:33
And so this is negative 8 comma negative 5 root 3.
00:40
So now that we have found the point, we have to find the trigonometric form, which we know is going to be followed the format, r cosine theta plus isynteta.
00:48
So we have to find r and theta.
00:51
So for r, we know r squared is equal to x squared plus y squared, r is equal to the square root of x, which is negative 8 squared, plus y, which is negative 5 root 3 squared...