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Mathematics
Mathematics
Problem
For the identity
tan
2
θ
=
2
tan
θ
1
−
tan
2
θ
\tan 2\theta = \dfrac{2\tan\theta}{1-\tan^2\theta}
tan
2
θ
=
1
−
tan
2
θ
2
tan
θ
to be defined, which of the following conditions on
tan
θ
\tan\theta
tan
θ
must hold? a)
tan
θ
≠
0
\tan\theta \neq 0
tan
θ
=
0
b)
∣
tan
θ
∣
<
1
|\tan\theta|<1
∣
tan
θ
∣
<
1
c)
tan
θ
≠
±
1
\tan\theta \neq \pm 1
tan
θ
=
±
1
d)
tan
θ
≠
±
3
\tan\theta \neq \pm\sqrt{3}
tan
θ
=
±
3
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