Question

What are the cylindrical coordinates of the point whose rectangular coordinates are (x=−3, y=5, z=2)(x=−3, y=5, z=2) ?

Answer 1

(5.83, 2.11, 2)

Explanation:

To convert from rectangular coordinates to cylindrical coordinates we use

`x=rcos(u)`

`y=rsin(u)`

`r=√(x^2+y^2)`

Therefore (-3,5,2):

`r=√((-3)^2+5^2)=5.83`

`cosu=x/r=-3/5.83=-0.51`

`u=2.11 radians`

So the coordinates are (5.83, 2.11, 2)