Question

Which set of rectangular coordinates describes the same location as the polar coordinates (4, 3pi/2)

Answer 1

(0,-4)

Explanation:

a p e x

Answer 2

(0,-4)

Explanation:

To convert from the polar coordinates to rectangular coordinates use;

`x=r\cos\theta` and
`y=r\sin\theta`

The given polar coordinate is;

`(4,(3\pi)/(2))`

This implies that;

r=4 and
`\theta=(3\pi)/(2)`

We substitute to obtain;

`x=4\cos((3\pi)/(2))` and
`y=4\sin((3\pi)/(2))`

`x=0` and
`y=-4`

(0,-4)