Work out spherical to cartesian coordinates instantly with clear inputs, formula shown and shareable results.
Spherical coordinates use a radius, a polar angle θ measured down from the z-axis and an azimuth φ in the xy-plane. Converting gives x = r·sin θ·cos φ, y = r·sin θ·sin φ and z = r·cos θ.
Spherical to Cartesian
x = r·sin θ·cos φ, y = r·sin θ·sin φ, z = r·cos θ
x = 10 × 0.8660254 × 0.8660254 = 7.5, y = 4.3301270 and z = 5.
Conventions differ. Here θ is the polar angle from the z-axis, the physics convention; some maths texts swap θ and φ.