How do you find the rectangular coordinates given the polar coordinates $(2.5, 250^circ)$ ?

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Answer 1 · 2017-01-06T23:23:56

$x = -0.855$
$y = -2.349$

Substitute $r = 2.5$ and $Theta = 250$ in the following equations relating rectangular co-ordinates to polar co-ordinate-

$x = r xx cos theta = 2.5 xx cos 250 = -0.855$
$y = r xx sin theta = 2.5 xx sin 250 = -2.349$

Hence the rectangular co-ordinates of the given polar coordinates are

$(-0.855, -2.349)$

How do you find the rectangular coordinates given the polar coordinates (2.5, 250^circ)(2.5, 250^circ)?