Question

Find the rectangular coordinates of the point with the polar coordinates (8, 3/2 pi) A (0. -8) B (0, 8) C (8, 0) D (-8, 0)

Answer 1

(0, -8) (option A)

Step-by-step explanation:

Converting from polar to rectangular coordinates (x, y):

polar coordinates (8, 3/2 pi) = (8, 3π/2)

where r = 8

θ = 3/2 pi

x = rcosθ

y = rsinθ

y = 8 sin(3π/2) = 8(sin270)

y = 8(-1)

y = -8

x = 8 cos(3π/2) = 8(cos 270)

x = 8(0)

x = 0

The rectangular coordinates (x, y) = (0, -8) (option A)