Question

How do you convert `(4, -pi/2)` to rectangular form?

Answer 1

The coordinates are `(0,-4)`

Explanation:

The equations to convert cartesian coordinates to polar coordinates are `x=rcostheta` and `y=rsintheta`
where `(r,theta)` are polar coordinates
And `(x,y)` are cartesian coordinates
`:. x=4cos(-pi/2)` and `y=4sin(-pi/2)`
So `x=0` and `y=-4`