# ComplexDegrees

## ComplexDegrees(x)

Returns the phase of complex number «x» in degrees.

A complex number can be written in polar form as [math]\displaystyle{ r e^{\theta j} }[/math]. Given a complex number, «x», `ComplexDegrees(x)`

returns the [math]\displaystyle{ \theta }[/math] in degrees, in the range `[-180, 180)`

.

## Examples

`ComplexRadians(5+5j) → 45`

`ComplexRadians(1j) → 90`

`ComplexRadians(-1j) → -90`

`ComplexRadians(-2) → -180`

`ComplexRadians(.1) → 0`

## History

This function was introduced in Analytica 4.5.

## See Also

- ComplexRadians
- Complex Numbers
- Abs -- for the magnitude,
*r* - Degrees
- Radians

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