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Simplification of arctan2(f1,f2) expressions.

Why doesn't arctan2(sqrt(a^2 + r^2)sin(phi)sin(th), sqrt(a^2 + r^2)cos(phi)sin(th)) simplify to phi or at least arctan2(sin(phi),cos(phi))?

Simplification of arctan2(f1,f2) expressions.

Why doesn't arctan2(sqrt(a^2 + r^2)sin(phi)sin(th), r^2)*sin(phi)*sin(th), sqrt(a^2 + r^2)cos(phi)sin(th)) r^2)*cos(phi)*sin(th)) simplify to phi or at least arctan2(sin(phi),cos(phi))?arctan2(sin(phi),cos(phi))?