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

Answer:

(5.83, 2.11, 2)

Step-by-step explanation:

To convert from rectangular coordinates to cylindrical coordinates we use

$x=rcos(u)$

$y=rsin(u)$

$r=\sqrt{x^2+y^2}$

Therefore (-3,5,2):

$r=\sqrt{(-3)^2+5^2}=5.83$

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

$u=2.11 radians$

So the coordinates are (5.83, 2.11, 2)