There are two supported formats for complex numbers: rectangular and
polar. The default format is rectangular, displayed in the form
``( real,imag)'` where

Polar complex numbers are displayed in the form ``(``r``;`@c{$\theta$}
`theta``)`'
where `r` is the nonnegative magnitude and @c{$\theta$}
`theta` is the argument
or phase angle. The range of @c{$\theta$}
`theta` depends on the current angular
mode (see section Angular Modes); it is generally between *-180* and
*+180* degrees or the equivalent range in radians.

Complex numbers are entered in stages using incomplete objects. See section Incomplete Objects.

Operations on rectangular complex numbers yield rectangular complex
results, and similarly for polar complex numbers. Where the two types
are mixed, or where new complex numbers arise (as for the square root of
a negative real), the current **Polar Mode** is used to determine the
type. See section Polar Mode.

A complex result in which the imaginary part is zero (or the phase angle is 0 or 180 degrees or @c{$\pi$} pi radians) is automatically converted to a real number.

Go to the first, previous, next, last section, table of contents.