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Standard XI
Mathematics
NCERT
Question
Prove that:
(
s
i
n
3
x
+
s
i
n
x
)
s
i
n
x
+
(
c
o
s
3
x
−
c
o
s
x
)
c
o
s
x
=
0
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Solution
Verified by Toppr
L
H
S
=
(
s
i
n
3
x
+
s
i
n
x
)
s
i
n
x
+
(
c
o
s
3
x
−
c
o
s
x
)
c
o
s
x
=
[
2
sin
(
3
x
+
x
2
)
cos
(
3
x
−
x
2
)
]
sin
x
+
[
−
2
sin
(
3
x
+
x
2
)
sin
(
3
x
−
x
2
)
]
cos
x
⇒
2
[
sin
x
cos
x
sin
2
x
−
sin
x
cos
x
sin
2
x
]
=
0
=
R
H
S
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