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DLMF:4.35.E19
(Q2267)
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English
DLMF:4.35.E19
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DLMF defining formula
sinh
2
u
+
cosh
2
v
=
cosh
(
u
+
v
)
cosh
(
u
-
v
)
.
2
𝑢
2
𝑣
𝑢
𝑣
𝑢
𝑣
{\displaystyle{\displaystyle{\sinh^{2}}u+{\cosh^{2}}v=\cosh\left(u+v\right)% \cosh\left(u-v\right).}}
0 references
Symbols used
hyperbolic cosine function
DLMF defining formula
cosh
z
𝑧
{\displaystyle{\displaystyle\cosh\NVar{z}}}
xml-id
C4.S28.E2.m2aldec
0 references
hyperbolic sine function
DLMF defining formula
sinh
z
𝑧
{\displaystyle{\displaystyle\sinh\NVar{z}}}
xml-id
C4.S28.E1.m2aldec
0 references
instance of
Digital Library of Mathematical Functions Formula
0 references
MaRDI profile type
MaRDI formula profile
0 references
Identifiers
Digital Library of Mathematical Functions ID
4.35.E19
0 references
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Mathematics
(1 entry)
mardi
Formula:2267
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