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Complex sine function
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Past exam of the mathematics course of the University of Cambridge
/
2020
/
ia
/
Paper 1
/
1C
/
ii
/
Solution
Created
2026-09-24
Updated
2026-09-29
View more
The
complex sine function
obeys
sin
(
x
+
i
y
)
=
sin
x
cosh
y
+
i
cos
x
sinh
y
.
(1)
Thus
Re
(
sin
z
)
=
sin
x
cosh
y
,
Im
(
sin
z
)
=
cos
x
sinh
y
.
(2)
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