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Mathematics
Mathematics
Problem
Minimum value of
5
(
sin
2
x
+
sin
4
x
+
sin
6
x
+
…
∞
)
+
125
(
cos
2
x
+
cos
4
x
+
cos
6
x
+
…
∞
)
+
7
5(\sin^2 x + \sin^4 x + \sin^6 x + \dots \infty) + 125(\cos^2 x + \cos^4 x + \cos^6 x + \dots \infty) + 7
5
(
sin
2
x
+
sin
4
x
+
sin
6
x
+
…
∞
)
+
125
(
cos
2
x
+
cos
4
x
+
cos
6
x
+
…
∞
)
+
7
,
(
x
≠
n
π
2
,
n
∈
I
)
(x \neq \frac{n\pi}{2}, n \in I)
(
x
=
2
nπ
,
n
∈
I
)
is equal to 'd' then
[
d
5
]
\left[\frac{d}{5}\right]
[
5
d
]
is (where
[
⋅
]
[\cdot]
[
⋅
]
is greatest integer function)
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