Question

How do you find the rectangular coordinate for [3, pi/2]?

Answer 1

If Cartesian or rectangular coordinate of a point be (x,y)
and its polar polar coordinate be `(r,theta)`

then `x=rcostheta and y= rsintheta`
here `r=3 and theta =pi/2`
`x= 3*cos(pi/2)=3*0=0`
`y= 3*sin(pi/2)=3*1=3`

So Cartesian coordinate=`(0,3)`