Question

What is the polar form of `(11,-11)`?

Answer 1

`(-pi/4, 15.56)`

Explanation:

The x value is 11 and the y value is -11

---------11
|
|
|
11

Thus the angle is `-45` degrees and at a length of 15.56, using the Pythagorean Theorem.

You could also use these two equations to convert any point:

`x = r × cos( θ )`
`y = r × sin( θ )`

So:

`11 = rcos( θ )`
`-11 = rsin( θ )`

Then you can use a calculator to solve for r and theta.