How do you find the rectangular coordinates given $(3, \frac{π}{2})$ $(3, pi/2)$ ?

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How do you find the rectangular coordinates given $(3, \frac{π}{2})$ $(3, pi/2)$ ?

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Answer 1 · 2018-07-13T16:02:46

$(0, 3)$ $(0, 3)$

Explanation:

The rectangular or cartesian coordinates $(x, y)$ $(x, y)$ of the given point $(3, \frac{π}{2}) \equiv (r, θ)$ $(3, \pi/2)\equiv(r, \theta)$ are given as

$x = r cos θ = 3 cos (\frac{π}{2}) = 0$ $x=r\cos\theta=3 \cos (\pi/2)=0$

$y = r sin θ = 3 sin (\frac{π}{2}) = 3$ $y=r\sin\theta=3 \sin (\pi/2)=3$

$\therefore (x, y)\equiv(0, 3)$

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How do you find the rectangular coordinates given $(3, \frac{π}{2})$ $(3, pi/2)$ ?

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