How do you convert $(0, 2)$ $(0, 2)$ to polar form?

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How do you convert $(0, 2)$ $(0, 2)$ to polar form?

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Answer 1 · 2016-10-21T19:51:56

Rectangular form: $(x, y) = (0, 2) X \to X$ $(x,y)=(0,2)color(white)("X")rarrcolor(white)("X")$ Polar form: $(r, θ) = (2, \frac{π}{2})$ $(r,theta)=(2,pi/2)$

Explanation:

Since (in rectangular form) $x = 0$ $x=0$ and $y > 0$ $y > 0$ ,
the point is on the positive Y-axis $\to θ = \frac{π}{2}$ $rarr theta = pi/2$

Since the point $(0, 2)$ $(0,2)$ is a distance of $2$ $2$ from the origin,
the radius is $2$ $2$
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How do you convert $(0, 2)$ $(0, 2)$ to polar form?

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