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Mathematics
Mathematics
Problem
Find the average values of the functions
f
(
x
)
=
sin
x
f(x)=\sin x
f
(
x
)
=
sin
x
and
g
(
x
)
=
cos
x
g(x)=\cos x
g
(
x
)
=
cos
x
on the interval
[
0
,
π
/
2
]
[0,\pi/2]
[
0
,
π
/2
]
. Which of the two averages is larger?
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