Answer:
(x,y) = (0, -3)
Step-by-step 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)
