What is the locus of a surface when theta(θ) coordinate is constant in Spherical coordinate system? - The Right Gate

# What is the locus of a surface when theta(θ) coordinate is constant in Spherical coordinate system?

What is the locus of a surface when theta(θ) coordinate is constant in Spherical coordinate system?

There are three conditions of theta(θ)which are discussed below.
1. The locus of θ = constant for less than $90^0$ will form a conical curved surface above the XY plane with apex at origin and slant side making angle θ with + Z axis.
2. The locus of θ greater than $90^0$ will form a conical curved surface below the XY plane with apex at origin and slant side making angle θ with +Z axis.
3. The locus of θ equal to $90^0$ is exactly same as the XY plane.

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