Question

Find the spherical coordinates of A(2,3,-1)

(a) (3.74, 105.5⁰, 56.13⁰)

(b) (3.74, 105.5⁰, 56.31⁰)

(c) (3.74, 106.5⁰, 56.13⁰)

(d) (3.74, 106.5⁰, 56.31⁰)

This question was addressed to me in an online quiz.

My question comes from Spherical Coordinate System in division Coordinate Systems and Transforms of Electromagnetic Theory

Answer 1

Right choice is (b) (3.74, 105.5⁰, 56.31⁰)

Explanation: r = √(x^2+y^2+z^2) = √14 = 3.74

Θ = cos^-1(z/r) = cos^-1(-1/3.74) = 105.5⁰

Φ = tan^-1(y/x) = tan^-1(3/2) = 56.31⁰.