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Problem
Problem
If
[
sin
x
]
+
[
2
cos
x
]
=
−
3
[\sin x] + [\sqrt{2} \cos x] = -3
[
sin
x
]
+
[
2
cos
x
]
=
−
3
,
x
∈
[
0
,
2
π
]
x \in [0, 2\pi]
x
∈
[
0
,
2
π
]
, (where,
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function), then a.
x
∈
(
π
,
5
π
4
)
x \in \left( \pi, \frac{5\pi}{4} \right)
x
∈
(
π
,
4
5
π
)
b.
x
∈
(
π
,
7
π
6
)
x \in \left( \pi, \frac{7\pi}{6} \right)
x
∈
(
π
,
6
7
π
)
c.
x
∈
[
π
,
5
π
4
]
x \in \left[ \pi, \frac{5\pi}{4} \right]
x
∈
[
π
,
4
5
π
]
d. None of these
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