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Byju's Answer
Standard XII
Mathematics
Special Integrals - 1
If y =sin sin...
Question
If
y
=
s
i
n
(
s
i
n
x
)
a
n
d
d
2
y
d
x
2
+
d
y
d
x
t
a
n
x
+
f
(
x
)
=
0
,
t
h
e
n
f
(
x
)
e
q
u
a
l
s
A
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B
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C
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D
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Solution
The correct option is
D
d
y
d
x
=
c
o
s
(
s
i
n
x
)
c
o
s
x
d
2
y
d
x
2
=
−
c
o
s
(
s
i
n
x
)
s
i
n
x
+
c
o
s
[
−
s
i
n
(
s
i
n
x
)
]
c
o
s
x
∴
d
2
y
d
x
2
+
d
y
d
x
t
a
n
x
+
c
o
s
2
x
s
i
n
(
s
i
n
x
)
=
0
∴
f
(
x
)
=
c
o
s
2
x
s
i
n
(
s
i
n
x
)
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