Question

Discuss rectangular Cartesian and spherical Polar coordinates.how are the coordinates of a point related in the two systems

Answer 1

conversion formula is given below

Explanation:

• The rectangular coordinates  (x,y,z)  and the cylindrical coordinates  (r,$\theta$,$\alpha$)  of a point are related as follows:
• These equations are used to convert from cylindrical coordinates to rectangular coordinates.
• $x=rcos\theta$
• $y=rsin\theta$
• $z=\alpha$
• These equations are used to convert from rectangular coordinates to cylindrical coordinates
• $r^{2} =x^{2}+ y^{2}$
• $tan\theta=\frac{y}{x}$
• $z=\alpha$