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Convert the (10, 90, 60) coordinates to Cartesian coordinates which are in Spherical coordinates.

Convert the (10, 90, 60) coordinates to Cartesian coordinates which are in Spherical coordinates. Correct Answer (5, 8.66, 0)

The Spherical coordinates is of the form (r, θ, φ) and Cartesian coordinates is of the form (x, y, z) where x = r sin⁡θ cos⁡ϕ and y = rsin⁡θ sin⁡ϕ and z=rcos⁡θ. Now, substituting the values for r as 10, θ as 90, and φ as 60, substituting the values we get x = 10 sin90 cos60 = 5 y = 10 sin90 sin60 = 8.66 z = 10 cos90 = 0.

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