How do you find the rectangular coordinate of the following point (5,300)?

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How do you find the rectangular coordinate of the following point (5,300)?

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Answer 1 · 2016-04-09T03:26:38

x- coordinate =5 and y- coordinate=300

Answer 2 · 2016-04-09T03:30:41

If the polar co-ordinates $(r, theta)=(5, 300^o)$ , the rectangular co-ordinates $(x, y)=(5/2, -5sqrt3/2)$ .

Explanation:

$x=r cos theta and y=r sin theta$ .

Here, r = 5 and $theta=300^o$ .
$cos 300^o=cos(360^o-60^o)=cos 60^o=1/2$
$sin 300^o=sin(360^o-60^o)=-sin 60^o=-sqrt3/2$ .
So, $(x, y) = (5/2, -5sqrt3/2)$ .

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How do you find the rectangular coordinate of the following point (5,300)?

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