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Mathematics
Problem
Determine all solutions of
sin
3
θ
=
0
\sin 3\theta = 0
sin
3
θ
=
0
that lie in the interval
0
∘
<
θ
≤
180
∘
0^{\circ} < \theta \le 180^{\circ}
0
∘
<
θ
≤
18
0
∘
. a)
{
60
∘
,
90
∘
,
150
∘
}
\{60^{\circ},\,90^{\circ},\,150^{\circ}\}
{
6
0
∘
,
9
0
∘
,
15
0
∘
}
b)
{
30
∘
,
90
∘
,
150
∘
}
\{30^{\circ},\,90^{\circ},\,150^{\circ}\}
{
3
0
∘
,
9
0
∘
,
15
0
∘
}
c)
{
60
∘
,
120
∘
,
180
∘
}
\{60^{\circ},\,120^{\circ},\,180^{\circ}\}
{
6
0
∘
,
12
0
∘
,
18
0
∘
}
d)
{
60
∘
,
120
∘
}
\{60^{\circ},\,120^{\circ}\}
{
6
0
∘
,
12
0
∘
}
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