Example 5.11. The
values of
are
given by
.
Using straightforward techniques, we simplify this equation and
obtain
![[Graphics:Images/ComplexFunTrigInverseMod_gr_128.gif]](../Images/ComplexFunTrigInverseMod_gr_128.gif)
where n is an integer. We
observe that
![]()
and then write
, where
n is an integer.
Explore Solution 5.11.
Use the formulas in the text to get the answers.
![[Graphics:../Images/ComplexFunTrigInverseMod_gr_132.gif]](../Images/ComplexFunTrigInverseMod_gr_132.gif)
We can check out the principal values.
![[Graphics:../Images/ComplexFunTrigInverseMod_gr_134.gif]](../Images/ComplexFunTrigInverseMod_gr_134.gif)
![[Graphics:../Images/ComplexFunTrigInverseMod_gr_136.gif]](../Images/ComplexFunTrigInverseMod_gr_136.gif)