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Mathematics
Problem
The set of values of
x
x
x
, satisfying the equation
tan
2
(
sin
−
1
x
)
>
1
\tan^2(\sin^{-1}x) > 1
tan
2
(
sin
−
1
x
)
>
1
is a.
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
b.
[
−
2
2
,
2
2
]
\left[-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right]
[
−
2
2
,
2
2
]
c.
(
−
1
,
1
)
−
[
−
2
2
,
2
2
]
(-1, 1) - \left[-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right]
(
−
1
,
1
)
−
[
−
2
2
,
2
2
]
d.
[
−
1
,
1
]
−
(
−
2
2
,
2
2
)
[-1, 1] - \left(-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)
[
−
1
,
1
]
−
(
−
2
2
,
2
2
)
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