Question

Find the cartesian Coordinates of B(4, 25, 120°​

Answer 1

Given:

Coordinates of a point in spherical form B(4,25°,120°)

(You have made a slight mistake in writing the question, it is 25° and not 25)

To Find:

Respective coordinates in cartesian form

Explanation:

Let:

r=4

θ=25°

Ф=120°

Then x is given by:

x = r sin θ cos φ

= 4 sin25⁰ cos 120⁰

= -0.845

y is given by:

y = r sin θ sin φ

= 4 sin 25⁰ sin 120⁰

= 1.462

z is given by:

z = r cos θ

= 4 cos 25⁰

= 3.625.

FInal Answer:(x,y,z)

(-0.845,1.462,3.625)