How do you find the polar coordinates given the rectangular coordinates (0,1)?

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Answer 1 · 2018-07-28T12:04:39

$(r, θ) \equiv (1, \frac{π}{2})$ $(r, \theta)\equiv(1, \pi/2)$

Given Cartesian coordinates $(x, y) \equiv (0, 1)$ $(x, y)\equiv(0, 1)$ are converted into polar form $(r, θ)$ $(r, \theta)$ as follows

$r = \sqrt{x^{2} + y^{2}}$ $r=\sqrt{x^2+y^2}$

$= \sqrt{0^{2} + 1^{2}}$ $=\sqrt{0^2+1^2}$

$= 1$ $=1$

&
$θ = {tan}^{- 1} (\frac{y}{x})$ $\theta=\tan^{-1}(y/x)$

$= {tan}^{- 1} (\infty)$ $=\tan^{-1}(\infty)$

$= \frac{π}{2}$ $=\pi/2$

hence, the polar form of given point is

$(r, θ) \equiv (1, \frac{π}{2})$ $(r, \theta)\equiv(1, \pi/2)$