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Mathematics
Problem
Set of values of
x
x
x
for which the identity
cos
−
1
x
+
cos
−
1
(
x
2
+
1
2
3
−
3
x
2
)
=
π
3
\cos^{-1} x + \cos^{-1} \left( \frac{x}{2} + \frac{1}{2} \sqrt{3 - 3x^2} \right) = \frac{\pi}{3}
cos
−
1
x
+
cos
−
1
(
2
x
+
2
1
3
−
3
x
2
)
=
3
π
holds good, is
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