# How do you write the trigonometric form of #-2-2i#?

##### 1 Answer

Nov 7, 2016

The trigonometric form is

#### Explanation:

Let

The modulus of z is

Then we rewrite z as

simplify

Comparing this to

So

So the trigonometric form is #z=2sqrt2(cos((5pi)/4)+isin((5pi)/4))

and the exponential form is