What is the Cartesian form of $(81,(3pi)/8)$ ?

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Answer 1 · 2017-07-02T23:56:47

$(31.0, 74.8)$

We're asked to find the Cartesian (rectangular) form of a polar coordinate.

This is done by

$x = rcostheta$

$y = rsintheta$

Therefore,

$x = 81cos((3pi)/8) ~~ 31.0$

$y = 81sin((3pi)/8) ~~ 74.8$

The rectangular form is thus

$(31.0, 74.8)$

What is the Cartesian form of (81,(3pi)/8)(81,(3pi)/8)?