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Mathematics
Mathematics
Problem
For
0
∘
≤
θ
<
180
∘
0^{\circ} \le \theta < 180^{\circ}
0
∘
≤
θ
<
18
0
∘
, the complete set of solutions of
tan
2
θ
=
3
\tan 2\theta = \sqrt{3}
tan
2
θ
=
3
is a)
θ
=
60
∘
,
150
∘
\theta = 60^{\circ},\,150^{\circ}
θ
=
6
0
∘
,
15
0
∘
b)
θ
=
45
∘
,
135
∘
\theta = 45^{\circ},\,135^{\circ}
θ
=
4
5
∘
,
13
5
∘
c)
θ
=
30
∘
,
120
∘
\theta = 30^{\circ},\,120^{\circ}
θ
=
3
0
∘
,
12
0
∘
d)
θ
=
30
∘
,
150
∘
\theta = 30^{\circ},\,150^{\circ}
θ
=
3
0
∘
,
15
0
∘
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