HP 15c User Manual
Page 60
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Section 3: Calculating in Complex Mode
60
The illustrations that follow show the principal branches of the inverse relations. The left-
hand graph in each figure represents the cut domain of the inverse function; the right-hand
graph shows the range of the principal branch.
For some inverse relations, the definitions of the principal branches are not universally
agreed upon. The principal branches used by the HP-15C were carefully chosen. First, they
are analytic in the regions where the arguments of the real-valued inverse functions are
defined. That is, the branch cut occurs where its corresponding real-valued inverse function
is undefined. Second, most of the important symmetries are preserved. For example,
SIN
−1
(−z) = -SIN
−1
(z) for all z.