For each of point given in Spherical Coordinates ( , theta, Phi), find the point

Question

For each of point given in Spherical Coordinates ( , theta, Phi), find the point in Cartesian Coordinates (x,y,z). If ( , theta, ) = (4, -2pi/3, 3pi/4), then (x,y,z) = Answer is a of the form (1,2,sqrt3) etc. If ( , theta, ) = (4, pi/3, 3pi/4), then (x,y,z) = Answer is a of the form (1,2,sqrt3) etc. If ( , theta, ) = (4, -pi/3, pi/4), then (x,y,z) = Answer is a of the form (1,2,sqrt3) etc.

Explanation / Answer

spherical to cartesian: (r,?,f) ==> (x,y,z) x = rsin?cosf y = rsin?sinf z = rcos? coming to the problem: 1.) x = 4*sin(-120)*cos(135) = sqrt(6) y = 4*sin(-120)*sin(135) = -sqrt(6) z = 4*cos(-120) = -2 2.)x = 4*sin(60)*cos(135) = -sqrt(6) y = 4*sin(60)*sin(135) = sqrt(6) z = 4*cos(60) = 2 3.)x = 4*sin(-60)*cos(45) = -sqrt(6) y = 4*sin(-60)*sin(45) = sqrt(6) z = 4*cos(-60) = 2

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