Question

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

(0, 3)

(0, -3)

(-3, 0)

(3, 0)

Answer 1

The correct choice is (0,-3)

Explanation:

To convert from polar coordinates to rectangular coordinates, we use the parametric equations:

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

The point given to us in polar coordinates is
`(3,(3)/(2)\pi)`.

where
`r=3,\theta=(3\pi)/(2)`

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

`x=3(0)` and
`y=3(-1)`

`x=0` and
`y=-3`

The correct choice is (0,-3)