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

Question

asked Apr 18, 2020 132k views

2 Answers

Sticky Bit · Answer 1 · 2020-04-23T03:25:58+0000

Answer:

(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)