CALCULATOR
Complex Principal Phase with Positive Real Part Calculator
Complex Principal Phase with Positive Real Part. Example: Real: 3 number, Imag: 4 number gives 53.1301023542 degrees. Phase only, real part positive; negative-real branch-cut cases and full polar output deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Phase only, real part positive; negative-real branch-cut cases and full polar output deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Principal phase of nonzero complex number measured counterclockwise from real axis.
Accepted inputs: Real: 0.1 to 100 number; Imag: -100 to 100 number.
Complex Principal Phase with Positive Real Part
How the calculation works
θ=atan2(Im z,Re z)
Worked example
With real 3 number, imag 4 number, complex principal phase with positive real part is 53.13010235 degrees.
Assumptions and limits
Phase only, real part positive; negative-real branch-cut cases and full polar output deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Principal phase of nonzero complex number measured counterclockwise from real axis.