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Mathematics
Mathematics
Problem
The difference between the greatest and the least value of
f
(
x
)
=
cos
2
x
2
sin
x
f(x) = \cos^2 \frac{x}{2} \sin x
f
(
x
)
=
cos
2
2
x
sin
x
,
x
∈
[
0
,
π
]
x \in [0, \pi]
x
∈
[
0
,
π
]
is: (A)
3
3
8
\frac{3\sqrt{3}}{8}
8
3
3
(B)
3
8
\frac{\sqrt{3}}{8}
8
3
(C)
3
8
\frac{3}{8}
8
3
(D)
1
2
2
\frac{1}{2\sqrt{2}}
2
2
1
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