How do you convert $(1, \frac{π}{2})$ $(1,(pi)/2)$ to rectangular form?

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How do you convert $(1, \frac{π}{2})$ $(1,(pi)/2)$ to rectangular form?

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Answer 1 · 2016-07-22T21:44:38

The coordinates in rectangular form are $(0, 1)$ $(0,1)$ .

Explanation:

Given a polar coordinate of the form $(r, θ)$ $(r, theta)$ , the conversion formula to rectangular/cartesian form is:
$x = r cos (θ)$ $x = rcos(theta)$
$y = r sin (θ)$ $y = rsin(theta)$

In the case of your given coordinates:
$x = cos (\frac{π}{2}) = 0$ $x = cos(pi/2) = 0$
$y = sin (\frac{π}{2}) = 1$ $y = sin(pi/2) = 1$

So the coordinates in rectangular form are $(0, 1)$ $(0,1)$ .

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How do you convert $(1, \frac{π}{2})$ $(1,(pi)/2)$ to rectangular form?

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