What is the polar form of #( -4,6 )#?

Answer 1

#(-4,6)=(2sqrt13,-0.923)#

For any point #P(a,b)# in the Cartesian plane, we can convert it to polar form #(r, vartheta)# using the following formulae

#r=sqrt(a^2+b^2)#

#vartheta=arctan(b/a)#

#thereforer=sqrt(-4^2+6^2)=2sqrt13# and #vartheta=arctan(-4/6)=-0.923#

#therefore(-4,6)=(2sqrt13,-0.923)#

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Answer 2

Emily Ammerman

The polar form of the complex number (-4, 6) is 7.2111∠(126.87°).

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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.

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