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Byju's Answer
Standard XII
Mathematics
Property 1
By writing ...
Question
By writing
cos
h
x
=
1
2
(
e
x
+
e
−
x
)
, prove that
d
d
x
(
cos
h
x
)
=
sin
h
x
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Solution
cos
h
x
=
e
x
+
e
−
x
2
now,
d
(
e
x
+
e
−
x
2
)
d
x
=
e
x
−
e
−
x
2
e
x
−
e
−
x
2
=
sin
h
x
hence,
d
(
cos
h
x
)
d
x
=
sin
h
x
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0
Similar questions
Q.
Show that
cos
h
x
+
sin
h
x
=
e
x
and simplify
cos
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By multiplying the expressions for
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cos
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x
+
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x
)
and
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−
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Q.
Assertion :The graph of the function
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can be realised as an exponential function by substituting
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Show that
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sin
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x
)
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Q.
Assuming the derivatives of
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Given that
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