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What is the polar form of #( 5,114 )#?

Answer 1

Samantha Adkison

#(\sqrt{14021}, \tan^{-1}(22.5))#

The Cartesian coordinates of the point #(x, y)\equiv(5, 114)#

then its polar coordinates #(r, \theta)# are given as follows

#r=\sqrt{x^2+y^2}=\sqrt{5^2+114^2}=\sqrt{13021}#

#\tan\theta=\frac{y}{x}=\frac{114}{5}#

#theta=tan^{-1}(22.8)#

#\therefore (r, \theta)\equiv(\sqrt{13021}, \tan^{-1}(22.5))#

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Answer 2

Charles Arocha

The polar form of the complex number (5, 114°) is 5cis(114°).

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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.