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Problems
If
3
sin
x
−
cos
x
=
min
α
∈
R
{
2
,
e
2
,
π
,
α
2
−
4
α
+
7
}
\sqrt{3} \sin x - \cos x = \min_{\alpha \in R} \{2, e^2, \pi, \alpha^2 - 4\alpha + 7\}
3
sin
x
−
cos
x
=
min
α
∈
R
{
2
,
e
2
,
π
,
α
2
−
4
α
+
7
}
…
Problem
If
3
sin
x
−
cos
x
=
min
α
∈
R
{
2
,
e
2
,
π
,
α
2
−
4
α
+
7
}
\sqrt{3} \sin x - \cos x = \min_{\alpha \in R} \{2, e^2, \pi, \alpha^2 - 4\alpha + 7\}
3
sin
x
−
cos
x
=
min
α
∈
R
{
2
,
e
2
,
π
,
α
2
−
4
α
+
7
}
, then a.
x
=
2
n
π
,
n
∈
I
x = 2n\pi, n \in I
x
=
2
nπ
,
n
∈
I
b.
x
=
2
n
π
+
2
π
3
,
n
∈
I
x = 2n\pi + \frac{2\pi}{3}, n \in I
x
=
2
nπ
+
3
2
π
,
n
∈
I
c.
x
=
n
π
+
(
−
1
)
n
π
4
+
π
6
,
n
∈
I
x = n\pi + (-1)^n \frac{\pi}{4} + \frac{\pi}{6}, n \in I
x
=
nπ
+
(
−
1
)
n
4
π
+
6
π
,
n
∈
I
d.
x
=
n
π
+
(
−
1
)
n
+
1
π
4
−
π
3
,
n
∈
I
x = n\pi + (-1)^{n+1} \frac{\pi}{4} - \frac{\pi}{3}, n \in I
x
=
nπ
+
(
−
1
)
n
+
1
4
π
−
3
π
,
n
∈
I
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