# How do you write the trigonometric form of 3-3i?

Nov 19, 2016

$\left(r , \theta\right) = \left(3 \sqrt{2} , - \frac{\pi}{4}\right)$

#### Explanation:

If we plot $\textcolor{b l u e}{3 - 3 i}$ as a point on the Complex plane
the relationship should be clear.

The radius can be calculated using the Pythagorean Theorem.

The triangle formed is one of the standard trigonometric triangles.
(You or your instructor might prefer to identify this angle as $\frac{7 \pi}{4}$).