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Mathematics
Mathematics
Problem
Determine the set of all
θ
∈
[
0
,
2
π
)
\theta\in[0,2\pi)
θ
∈
[
0
,
2
π
)
that satisfy
tan
θ
=
−
1
\tan\theta=-1
tan
θ
=
−
1
. a)
{
π
4
,
5
π
4
}
\Big\{\dfrac{\pi}{4},\,\dfrac{5\pi}{4}\Big\}
{
4
π
,
4
5
π
}
b)
{
π
4
,
3
π
4
,
5
π
4
,
7
π
4
}
\Big\{\dfrac{\pi}{4},\,\dfrac{3\pi}{4},\,\dfrac{5\pi}{4},\,\dfrac{7\pi}{4}\Big\}
{
4
π
,
4
3
π
,
4
5
π
,
4
7
π
}
c)
{
3
π
4
,
7
π
4
}
\Big\{\dfrac{3\pi}{4},\,\dfrac{7\pi}{4}\Big\}
{
4
3
π
,
4
7
π
}
d)
{
3
π
4
}
\Big\{\dfrac{3\pi}{4}\Big\}
{
4
3
π
}
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