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cot
(
a
+
bi
)
=
sin
(
2
a
)
−
i
sinh
(
2
b
)
cosh
(
2
b
)
−
cos
(
2
a
)
cot ( a + bi ) ={ sin(2a) - i sinh(2b)} over {cosh(2b) - cos(2a)}
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