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

1 Answer
Jun 26, 2017

#(12.629, 30.488)#

Explanation:

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))#