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))