How do you convert the polar coordinate (-2, 0.5236) into cartesian coordinates?

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How do you convert the polar coordinate (-2, 0.5236) into cartesian coordinates?

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Answer 1 · 2016-11-11T07:50:44

Polar coordinates are $(-1.732,-1)$

Explanation:

Polar coordinates $(r,theta)$ can be converted into Cartesian coordinates $(x,y)$ using relation

$x=rcostheta$ and $y=rsintheta$

Assuming that in $theta=0.5236$ angle is given in radians and although $r$ is positive, let its negative value indicate negative or opposite direction.

$x=(-2)xxcos0.5236=-2xx0.866=-1.732$

and $y=(-2)xxsin0.5236=-2xx0.5=-1$

Hence, polar coordinates are $(-1.732,-1)$

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How do you convert the polar coordinate (-2, 0.5236) into cartesian coordinates?

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