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Standard XI
Mathematics
NCERT
Question
Prove that:
s
i
n
3
x
+
s
i
n
2
x
−
s
i
n
x
=
4
s
i
n
x
c
o
s
x
2
c
o
s
3
x
2
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Solution
Verified by Toppr
L
H
S
=
s
i
n
3
x
+
s
i
n
2
x
−
s
i
n
x
=
2
sin
(
3
x
+
2
x
2
)
cos
(
3
x
−
2
x
2
)
−
2
sin
x
2
cos
x
2
=
2
cos
x
2
(
sin
5
x
2
−
sin
x
2
)
=
2
cos
x
2
cos
3
x
2
sin
x
=
4
s
i
n
x
c
o
s
x
2
c
o
s
3
x
2
=
R
H
S
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Similar Questions
Q1
Prove that:
s
i
n
3
x
+
s
i
n
2
x
−
s
i
n
x
=
4
s
i
n
x
c
o
s
x
2
c
o
s
3
x
2
View Solution
Q2
Show that
sin
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−
sin
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cos
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Q3
S
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s
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2
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−
s
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x
=
4
s
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x
c
o
s
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c
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s
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View Solution
Q4
Prove that
sin
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sin
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x
−
cos
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=
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View Solution
Q5
Prove that :
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=
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View Solution