Question

Write the equations in cylindrical coordinates, where cylindrical coordinates involve:

A) Cartesian coordinates
B) Polar coordinates
C) Spherical coordinates
D) Trigonometric coordinates

Answer 1

Cylindrical coordinates involve both Cartesian coordinates and polar coordinates. The equations in cylindrical coordinates are x = r cos(θ), y = r sin(θ), and z = z.

Step-by-step explanation:

Cylindrical coordinates involve both Cartesian coordinates and polar coordinates. In the cylindrical coordinate system, a point is described using three coordinates: the radial coordinate r, the azimuthal angle θ, and the height z (distance along the axis of the cylinder).

The equations in cylindrical coordinates are:

x = r cos(θ)

y = r sin(θ)

z = z