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Byju's Answer
Standard XII
Mathematics
Substitution Method to Remove Indeterminate Form
Prove the fol...
Question
Prove the following:
c
o
s
(
3
π
4
+
x
)
−
c
o
s
(
3
π
4
−
x
)
=
−
√
2
s
i
n
x
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Solution
L
H
S
=
c
o
s
(
3
π
4
+
x
)
−
c
o
s
(
3
π
4
−
x
)
=
c
o
s
(
3
π
4
)
c
o
s
x
−
s
i
n
(
3
π
4
)
s
i
n
x
−
[
c
o
s
(
3
π
4
)
c
o
s
x
+
s
i
n
(
3
π
4
)
s
i
n
x
]
=
−
2
s
i
n
(
3
π
4
)
s
i
n
x
=
−
√
2
sin
x
=
R
H
S
∵
L
.
H
.
S
=
R
.
H
.
S
∴
c
o
s
(
3
π
4
+
x
)
−
c
o
s
(
3
π
4
−
x
)
=
−
√
2
sin
x
Hence, proved
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1
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