HP 15c - Manual (Page 134)

134 Section 11: Calculating With Complex Numbers
a + ib =
r (cos θ + i sin θ) = re
iθ
(polar)
r
 θ
(phasor)
; and : can be used to interconvert the rectangular and polar forms of
a complex number. They operate in Complex mode as follows:
´
;
converts the polar (or phasor) form of a complex number to its
rectangular form by replacing the magnitude r in the real X-
register with a, and replacing the angle θ in the imaginary X-
register with b.
|
:
converts the rectangular coordinates of a complex number to the
polar (or phasor) form by replacing the real part a in the real X-
register with r, and replacing the imaginary part b in the
imaginary X-register with θ.
These are the only functions in Complex mode that are affected by the
current trigonometric mode setting. That is, the angular units for θ must
correspond to the trigonometric mode indicated by the annunciator
(or absence thereof).