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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» 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.


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