ComplexRadians

New in Analytica 4.5

Returns the phase of a complex number in radians.

A complex number can be written in polar form as [math]\displaystyle{ r e^{\theta j} }[/math]. Given a complex number, x, ComplexRadians returns [math]\displaystyle{ \theta }[/math], the result being expressed in radians in the range of [math]\displaystyle{ [-\pi,\pi) }[/math].

Examples

ComplexRadians(5+5j) → 0.7854 {This is [math]\displaystyle{ \pi/4 }[/math]}

ComplexRadians(1j) → 1.571 {This is [math]\displaystyle{ \pi/2 }[/math]}

ComplexRadians(-1j) → -1.571

ComplexRadians(-2) → -3.142

ComplexRadians(.1) → 0

See Also

• ComplexDegrees
• Complex Numbers
• Abs -- for the magnitude, r
• Degrees, Radians