00:01
We have 1 minus 3i, and we want to write that in trigonometric form.
00:06
So first thing we can do is find the amplitude of this, which is 1 squared, which is 1 plus minus 3 squared, which is 9.
00:13
So the amplitude is square to 10.
00:16
Now, the angle is we need to be a little careful with that because let's, you know, draw this.
00:24
And we're at 1.
00:26
We're at 1 minus, let's see, 1 minus 3, somewhere like down here, say.
00:35
Let me actually like that a real line.
00:40
All right, so we're down there somewhere.
00:43
And so if we're in, like i said, if we're in the first or the third, first or fourth quadrant, then inverse tangent in our calculators govern give us, we're not going to have to add pi to the answer...