How do you convert $(-5, 5 pi/2)$ to rectangular form?

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Answer 1 · 2018-06-05T14:52:06

Rectangular coordinates are $color(maroon)((0, -5)$

Polarcoordinates $(r, theta) = (-5, (5pi)/2)$

To conver to rectangular coordinates

$x = r cos theta, y = r sin theta$

$x = -5 * cos ((5pi)/2) = 0$

$y = -5 * sin ((5pi)/2) = -5$

Rectangular coordinates are $color(maroon)((0, -5)$

How do you convert (-5, 5 pi/2)(-5, 5 pi/2) to rectangular form?