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Mathematics
Mathematics
Problem
The simplest form of
(
cos
−
1
x
+
cos
−
1
{
x
2
+
1
2
3
−
3
x
2
}
)
,
∀
x
∈
[
1
2
,
1
]
\left(\cos^{-1} x + \cos^{-1} \left\{\frac{x}{2} + \frac{1}{2}\sqrt{3-3x^2}\right\}\right), \forall x \in \left[\frac{1}{2}, 1\right]
(
cos
−
1
x
+
cos
−
1
{
2
x
+
2
1
3
−
3
x
2
}
)
,
∀
x
∈
[
2
1
,
1
]
is
A
A
A
. Then, the value of
tan
A
\tan A
tan
A
is
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