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Mathematics
Mathematics
Problem
On the interval
[
−
π
4
,
π
4
]
\left[-\dfrac{\pi}{4},\dfrac{\pi}{4}\right]
[
−
4
π
,
4
π
]
, the function
p
(
x
)
=
k
cos
(
2
x
)
+
3
p(x)=k\cos(2x)+3
p
(
x
)
=
k
cos
(
2
x
)
+
3
has average value
4
4
4
. Determine the value of
k
k
k
.
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