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Mathematics
Mathematics
Problem
Find all values of
x
x
x
that satisfy
cos
x
=
−
1
2
\cos x = -\dfrac{1}{2}
cos
x
=
−
2
1
in the interval
0
≤
x
<
2
π
0 \le x < 2\pi
0
≤
x
<
2
π
. a)
{
5
π
6
,
11
π
6
}
\left\{\dfrac{5\pi}{6},\,\dfrac{11\pi}{6}\right\}
{
6
5
π
,
6
11
π
}
b)
{
2
π
3
,
4
π
3
}
\left\{\dfrac{2\pi}{3},\,\dfrac{4\pi}{3}\right\}
{
3
2
π
,
3
4
π
}
c)
{
π
3
,
5
π
3
}
\left\{\dfrac{\pi}{3},\,\dfrac{5\pi}{3}\right\}
{
3
π
,
3
5
π
}
d)
{
7
π
6
,
11
π
6
}
\left\{\dfrac{7\pi}{6},\,\dfrac{11\pi}{6}\right\}
{
6
7
π
,
6
11
π
}
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