Question

Express the complex number in trigonometric form.

3 - 3i

Answer 1

To find your angle,
\[\Large\rm \theta=\arctan \frac{y}{x}\]Plug in the x and y,\[\Large\rm \theta=\arctan \frac{-3}{3},\qquad\qquad\to\qquad \qquad \tan \theta=-1\]

Then to find the size of your radius,\[\Large\rm r=|3-3\mathcal i|=\sqrt{3^2+3^2}\]Then you can write it in this form:\[\Large\rm r(\cos \theta+ i \sin \theta)\]

Answer 2

none of that matches any of my answer choices

Answer 3

I didn't give you an answer, I gave you the steps to get your answer.

Answer 4

well it does not make sense so its not helping