< Hyperbelfunktion < Additionstheoreme
Beweise die Additionstheoreme für die
Hyperbelfunktionen
, also
a)
sinh
(
x
+
y
)
=
sinh
x
cosh
y
+
cosh
x
sinh
y
.
{\displaystyle {}\sinh(x+y)=\sinh x\cosh y+\cosh x\sinh y\,.}
b)
cosh
(
x
+
y
)
=
cosh
x
cosh
y
+
sinh
x
sinh
y
.
{\displaystyle {}\cosh(x+y)=\cosh x\cosh y+\sinh x\sinh y\,.}
Eine Lösung erstellen
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