# How do you write the complex number in trigonometric form #-2#?

##### 1 Answer

#### Explanation:

The general trigonometric for a complex number is

So we need a value

such that

The simplest solution that meets these requirements is

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To be complete, we should possibly note that any

would also meet the stated requirement

and the "complete" answer would be

While this is correct, I personally find that it obscures the significant components of the answer.