Question

How do you convert `(sqrt3 , 2)` to rectangular form?

Answer 1

`(sqrt(3)*cos(2), sqrt(3)*sin(2))`

Explanation:

Given the general polar coordinates:
`color(white)("XXX")(r,theta)`
for the rectangular form:
`color(white)("XXX")x=r*cos(theta)`
`color(white)("XXX")y=r*sin(theta)`

You could either memorize this or sketch a diagram to see why it is true.