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Mathematics
Mathematics
Problem
The general solution of the equation
cos
3
x
=
0
\cos 3x = 0
cos
3
x
=
0
is a)
x
=
π
6
+
n
π
,
n
∈
Z
x = \dfrac{\pi}{6} + n\pi,\; n\in\mathbb{Z}
x
=
6
π
+
nπ
,
n
∈
Z
b)
x
=
π
2
+
n
π
,
n
∈
Z
x = \dfrac{\pi}{2} + n\pi,\; n\in\mathbb{Z}
x
=
2
π
+
nπ
,
n
∈
Z
c)
x
=
π
6
+
n
π
3
,
n
∈
Z
x = \dfrac{\pi}{6} + \dfrac{n\pi}{3},\; n\in\mathbb{Z}
x
=
6
π
+
3
nπ
,
n
∈
Z
d)
x
=
π
6
+
2
n
π
3
,
n
∈
Z
x = \dfrac{\pi}{6} + \dfrac{2n\pi}{3},\; n\in\mathbb{Z}
x
=
6
π
+
3
2
nπ
,
n
∈
Z
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