# What is the polar form of #(1,18)#?

(18, 1.5)

apply both formulas when going from Cartesian -> polar

Thus our answer of:

Polar format of (1,18) Cartesian is:

(18, 1.5)

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The polar form of the complex number (1,18) is 1∠18°.

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To convert the Cartesian coordinates ( (1, 18) ) to polar form, we use the formulas:

[ r = \sqrt{x^2 + y^2} ] [ \theta = \arctan\left(\frac{y}{x}\right) ]

Substituting the given coordinates: [ r = \sqrt{1^2 + 18^2} = \sqrt{1 + 324} = \sqrt{325} ]

[ \theta = \arctan\left(\frac{18}{1}\right) = \arctan(18) ]

Therefore, the polar form of ( (1, 18) ) is ( (\sqrt{325}, \arctan(18)) ).

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