Question

How do you convert `(1,(pi)/2)` to rectangular form?

Answer 1

The coordinates in rectangular form are `(0,1)`.

Explanation:

Given a polar coordinate of the form `(r, theta)`, the conversion formula to rectangular/cartesian form is:
`x = rcos(theta)`
`y = rsin(theta)`

In the case of your given coordinates:
`x = cos(pi/2) = 0`
`y = sin(pi/2) = 1`

So the coordinates in rectangular form are `(0,1)`.