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Mathematics
Mathematics
Problem
Solve
sin
x
+
sin
3
x
=
0
\sin x + \sin 3x = 0
sin
x
+
sin
3
x
=
0
for
x
∈
(
0
,
2
π
)
x \in (0,2\pi)
x
∈
(
0
,
2
π
)
and choose the correct set of solutions. a)
{
π
2
,
π
}
\left\{\dfrac{\pi}{2},\,\pi\right\}
{
2
π
,
π
}
b)
{
π
2
,
3
π
2
}
\left\{\dfrac{\pi}{2},\,\dfrac{3\pi}{2}\right\}
{
2
π
,
2
3
π
}
c)
{
π
2
,
π
,
3
π
2
}
\left\{\dfrac{\pi}{2},\,\pi,\,\dfrac{3\pi}{2}\right\}
{
2
π
,
π
,
2
3
π
}
d)
{
π
,
3
π
2
}
\left\{\pi,\,\dfrac{3\pi}{2}\right\}
{
π
,
2
3
π
}
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