Question

How do you find the rectangular coordinates if you given the cylindrical coordinate `(5, pi/6, 5)`?

Answer 1

(`5sqrt(3)/2,5/2,5`)

Have a look at the graph:

Your cylindrical coordinates corresponds to:
`r=5`
`phi=pi/6`
`z=5`

In terms of rectangular coordinates you get:

`x=rcos(phi)=5sqrt(3)/2=4.33`
`y=rsin(phi)=5*1/2=2.5`
`z=5`