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Mathematics
Mathematics
Problem
Find the principal solutions of
cos
x
=
1
2
\cos x = \dfrac12
cos
x
=
2
1
in the interval
[
0
,
2
π
)
[0,2\pi)
[
0
,
2
π
)
. a)
x
=
π
6
,
11
π
6
x = \dfrac{\pi}{6},\ \dfrac{11\pi}{6}
x
=
6
π
,
6
11
π
b)
x
=
2
π
3
,
4
π
3
x = \dfrac{2\pi}{3},\ \dfrac{4\pi}{3}
x
=
3
2
π
,
3
4
π
c)
x
=
π
3
,
5
π
3
x = \dfrac{\pi}{3},\ \dfrac{5\pi}{3}
x
=
3
π
,
3
5
π
d)
x
=
π
3
,
4
π
3
x = \dfrac{\pi}{3},\ \dfrac{4\pi}{3}
x
=
3
π
,
3
4
π
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