show that cos h^ 5 x= 1 /6[cosh 5x+ 5 cosh 3x + 10 coshx ]
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Answer:
coshx=
2
e
x
+e
−x
=
4
5
cosh(3x)=
2
e
3x
+e
−3x
=?
e
x
+e
−x
=
2
5
(e
x
+e
−x
)
3
=
8
125
e
3x
+e
−3x
+3e
x
e
−x
(e
x
+e
−x
)=
8
125
e
3x
+e
−3x
+3(
2
5
)=
8
125
e
3x
+e
−3x
=
8
125
−
2
15
=
8
65
cosh(3x)=
2
e
3x
+e
−3x
=
16
65
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SIMILAR QUESTIONS
star-struck
Show that hyperbolic cosine and hyperbolic sine functions form a set of parametric equations that translate into the equation for a hyperbola, x
2
−y
2
=1.
Medium
View solution
>
Find the value of x for which
sinh
−1
4
3
+sinh
−1
x=sinh
−1
3
4
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