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

Answer 1

Emily Ammerman

#(-pi/4, 15.56)#

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.

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Answer 2

Ezekiel Alexander

The polar form of the complex number (11, -11) is 15.556 ∠ -45°.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.