Byju's Answer
Standard XII
Physics
Basic Differentiation Rule
Show that si...
Question
Show that
sin
3
x
+
sin
2
x
−
sin
x
=
4
sin
x
cos
x
2
cos
3
x
2
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Solution
sin
3
x
+
sin
2
x
−
sin
x
=
2
cos
2
x
sin
x
+
sin
2
x
=
2
cos
2
x
sin
x
+
2
sin
x
cos
x
=
2
sin
x
(
cos
x
+
cos
2
x
)
=
2
sin
x
(
2
cos
x
2
⋅
cos
3
x
2
)
sin
3
x
+
sin
2
x
−
sin
x
=
4
sin
x
⋅
cos
x
2
⋅
cos
3
x
2
.
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Similar questions
Q.
Prove that sin 3x + sin 2x - sin x = 4 sin x cos
x
2
c
o
s
3
x
2
Q.
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
Q.
Integrate with respect to x:
a)
sin
2
x
b)
cos
2
x
c)
4
sin
x
cos
x
2
cos
3
x
2
d)
1
√
x
+
3
+
√
x
+
2
Q.
Integrate with respect to
x
i)
sin
2
x
ii)
cos
3
x
iii)
4
sin
x
cos
x
2
cos
3
x
2
iv)
1
√
x
+
3
−
√
x
+
2
Q.
Prove that
sin
x
−
sin
3
x
sin
2
x
−
cos
2
x
=
2
sin
x
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