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Byju's Answer
Standard XII
Mathematics
Theorems on Integration
Using tanh ...
Question
Using
tanh
x
=
e
x
−
e
−
x
e
x
+
e
−
x
and
sech
x
=
2
e
x
+
e
−
x
find the value of
sech
2
x
+
tanh
2
x
Open in App
Solution
s
e
c
h
2
x
+
t
a
n
h
2
x
=
(
4
(
e
x
+
e
−
x
)
2
)
+
(
(
e
x
−
e
−
x
)
2
(
e
x
+
e
−
x
)
2
)
=
(
e
x
+
e
−
x
)
2
(
e
x
+
e
−
x
)
2
=
1
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0
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