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Byju's Answer
Standard XII
Mathematics
Integration by Parts
Solve : If ...
Question
Solve : If
c
o
s
h
x
=
5
4
then cosh (3x)=
Open in App
Solution
cosh
x
=
e
x
+
e
−
x
2
=
5
4
cosh
(
3
x
)
=
e
3
x
+
e
−
3
x
2
=
?
e
x
+
e
−
x
=
5
2
(
e
x
+
e
−
x
)
3
=
125
8
e
3
x
+
e
−
3
x
+
3
e
x
e
−
x
(
e
x
+
e
−
x
)
=
125
8
e
3
x
+
e
−
3
x
+
3
(
5
2
)
=
125
8
e
3
x
+
e
−
3
x
=
125
8
−
15
2
=
65
8
cosh
(
3
x
)
=
e
3
x
+
e
−
3
x
2
=
65
16
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0
Similar questions
Q.
Prove the following identities.
cos
h
(
−
x
)
=
cos
h
x
Q.
The two curve shown in the graph are
cosh
(
x
)
and
cosh
−
1
(
x
)
and are correctly labelled.
Q.
Match the following function
Domain Range
1.
c
o
s
h
x
a)
R
2.
c
o
s
h
−
1
x
b)
(
0
,
∞
)
3.
s
e
c
h
−
1
c)
[
1
,
∞
)
4.
c
o
t
h
−
1
d)
R
−
[
−
1
,
1
]
Q.
Using properties of proportion solve:
√
3
x
+
4
+
√
3
x
−
4
√
3
x
+
4
−
√
3
x
−
5
=
9
Q.
The graphs of
y
=
cosh
−
1
(
x
)
is the mirror image of that of
y
=
cosh
(
x
)
along the line y=x for all
x
<
0
.
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