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

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Answer 1 · 2017-02-25T07:32:51

#(-pi/4, 15.56)#

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

---------11
|
|
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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.