Question

HELP PLEASE! Find the rectangular coordinates of the point with the polar coordinates (3, 3 divided by 2 pi ).

Answer 1

(x,y) = (0, -3)

Explanation:

Polar coordinates are defined by a magnitude (r) and an angle (θ)

(r, θ) = (3 , 3/2*π)

Then, to change into rectangular coordinates we need to multiply r by sine and cosine of the angle.

x = r* cos (θ)

y = r* sin (θ)

So,

x = 3* cos (3/2*π)

y = 3* sin (3/2*π)

x = 3* cos (3/2*π) = 3* (0)

y = 3* sin (3/2*π) = 3 * (-1)

x = 0

y = -3

(x,y) = (0, -3)