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Problem
Problem
If
0
<
x
<
π
2
0 < x < \frac{\pi}{2}
0
<
x
<
2
π
and
sin
n
x
+
cos
n
x
≥
1
\sin^n x + \cos^n x \ge 1
sin
n
x
+
cos
n
x
≥
1
, then a.
n
∈
[
2
,
∞
)
n \in [2, \infty)
n
∈
[
2
,
∞
)
b.
n
∈
(
−
∞
,
2
]
n \in (-\infty, 2]
n
∈
(
−
∞
,
2
]
c.
n
∈
[
−
1
,
1
]
n \in [-1, 1]
n
∈
[
−
1
,
1
]
d. None of these
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