Plot the point whose polar coordinates are given. then find the cartesian coordinates of the point. (3, 3π/2)

Solution:

Polar coordinates are given in the form of (r, Θ) where r = is equal to the radius of the circle and Θ is the angle subtended at the center by the arc formed by the radii. The problem is depicted by the diagram below:

The cartesian coordinates of point A are determined as (rCosΘ, rSinΘ).

y = rSinΘ = 3Sin3π/2 = -3

x = rCosΘ = 3Cos3π/2 = 0

The cartesian coordinates of the point are (0, -3).

Plot the point whose polar coordinates are given. then find the cartesian coordinates of the point. (3, 3π/2)

Summary:

The cartesian coordinates of the given polar point are (0, -3)