Question

Convert (4, 3π/2) to rectangular form.

A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)

Answer 1

(0, -4)

Explanation:

The rectangular form is expressed as;

x = rcos theta

y = rsin theta

Given the coordinate (4, 3π/2)

r = 4

theta = 3π/2

Substitute

x = 4cos3π/2

x = 4cos270

x = 4(0)

x = 0

y= 4sin3π/2

y = 4sin270

y = 4(-1)

y = -4

Hence the required coordinate is (0, -4)