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Problem
Problem
The most general values of '
x
x
x
' for which
sin
x
+
cos
x
=
min
a
∈
R
[
1
,
a
2
−
4
a
+
6
]
\sin x + \cos x = \min_{a \in R} [1, a^2 - 4a + 6]
sin
x
+
cos
x
=
min
a
∈
R
[
1
,
a
2
−
4
a
+
6
]
are given by a.
2
n
π
2n\pi
2
nπ
b.
2
n
π
+
π
2
2n\pi + \frac{\pi}{2}
2
nπ
+
2
π
c.
n
π
+
(
−
1
)
n
π
4
−
π
4
n\pi + (-1)^n \frac{\pi}{4} - \frac{\pi}{4}
nπ
+
(
−
1
)
n
4
π
−
4
π
d. None of these
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