How to convert cylindrical coordinate to cartesian coordinate?

[kloong]

Homework Statement

Cylindrical: (5,5,53.2)
Cartesian = ??

How bout Cartesian to coordinate?
Any websites that shows all the conversions?

 

[HallsofIvy]

Cylindrical coordinates is just polar coordinates in the xy-plane together with the z coordinate. Do you know x= r cos(\theta) and y= r sin(\theta).
Then x^2+ y^2= r^2 cos^2(\theta)+ r^2 sin^2\(theta)= r^2. Also, dividing one equation by the other, y/x= (r sin(\theta))/(r cos(\theta))= tan(\theta). Putting that all together,

r= \sqrt{x^2+ y^2}
\theta= tan^{-1}(\frac{y}{x})
z= z