# How do you divide #(9i-5) / (-2i+6)# in trigonometric form?

##### 1 Answer

#### Explanation:

These are nice complex numbers in rectangular form. It's a big waste of time to convert them to polar coordinates to divide them. Let's try it both ways:

That was easy. Let's contrast.

In polar coordinates we have

I write

We can actually make progress with the tangent difference angle formula, but I'm not up for that. I suppose we could get the calculator out, but why turn a nice exact problem into an approximation?

Uncle.