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Math, Angle, and Test Operations 2-19
angle( returns the polar angle of a complex number or list
of complex numbers, calculated as tan
L
1
(b/a), where b is
the imaginary part and a is the real part. The calculation is
adjusted by +
p
in the second quadrant or
Np
in the third
quadrant.
angle(
a
+
bi
) returns
tan
L
1
(b/a)
.
angle(
r
e^(
q
i
)) returns
q
, where
Lp
<
q
<
p
.
abs( (absolute value) returns the magnitude (modulus),
(real2+imag2)
, of a complex number or list of complex
numbers.
abs(
a
+
bi
) returns
(a2+b2)
.
abs(
r
e^(
q
i
)) returns
r
(magnitude).
4
Rect
(display as rectangular) displays a complex result in
rectangular form. It is valid only at the end of an
expression. It is not valid if the result is real.
complex result
8
Rect
returns
a
+
bi
.
4
Polar
(display as polar) displays a complex result in polar
form. It is valid only at the end of an expression. It is not
valid if the result is real.
complex result
8
Polar
returns
r
e^(
q
i
).
angle(
abs(
4
Rect
4
Polar