How do you convert the rectangular point $(3, 3)$ $(3,3)$ into polar form?

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Answer 1 · 2017-12-19T09:05:23

Polar form of the point $(3, 3)$ $(3,3)$ is $(3 \sqrt{2}, 45^{0})$ $(3 sqrt2,45^0)$

Polar form of a point is expressed as $(r, θ)$ $(r,theta)$ where

$r = \sqrt{x^{2} + y^{2}}, tan θ = \frac{y}{x}$ $r= sqrt(x^2+y^2) , tan theta=y/x$ . The rectangular point

is $x = 3, y = 3$ $x=3,y=3$ and is in first quadrant.

$:.r= sqrt(x^2+y^2)=sqrt(3^2+3^2)=sqrt18=3 sqrt2$ and

$tan theta= y/x=3/3=1 ; tan 45=1 :. theta=45^0$

Polar form of the point $(3,3)$ is $(3 sqrt2,45^0)$ [Ans]

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