Question

Find the rectangular coordinates of the point with the polar coordinates (8, 3 divided by 2 pi ). (1 point) (0, -8) (0, 8) (8, 0) (-8, 0)

Answer 1

(x,y) = (0,-8)

Explanation:

We know that a point in polar coordinates is represented by

(r, θ)

Where r is the distance from the origin and θ is the angle.

Rectangular coordinates can be found by

x = r*cos(θ)

y = r*sin (θ)

x = r*cos(θ) = 8* cos (3π/2)

y = r*sin (θ) = 8 sin(3π/2)

x = 8* cos (3π/2) = 8*0 = 0

y = 8* sin (3π/2) = 8*(-1) = -8

(x,y) = (0,-8)