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)#