What is the Cartesian form of #(33,(3pi)/8)#?

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Answer 1 · 2017-06-26T14:36:23

#(12.629, 30.488)#

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

We can picture this coordinate point like a vector, where #33# is its magnitude and #(3pi)/8# is the angle.

The #x#- and #y#-coordinates of this point are given by

#x = 33cos((3pi)/8) = color(red)(12.629#

#y = 33sin((3pi)/8) = color(blue)(30.488#

The Cartesian form of this polar coordinate is thus

#(color(red)(12.629), color(blue)(30.488))#