Question

How do you write the rectangular coordinates for the point: (4, 3π/2)?

Answer 1

Polar coordinates `(4,(3pi)/2) hArr` Rectangular coordinates `(0,-4)`

Explanation:

Any polar coordinate `(r,theta)` with `theta = (3pi)/2` and `r=4`
`color(white)("XXX")`falls along the negative y-axis
`color(white)("XXX")`at a distance of `4` from the origin.

Since this point is on the y-axis, `x=0`
and
since it is a distance of `4` down the y-axis from the origin, `y=-4`