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Mathematics
Problem
A value of
tan
−
1
(
sin
(
cos
−
1
(
2
3
)
)
)
\tan^{-1}\left(\sin\left(\cos^{-1}\left(\sqrt{\frac{2}{3}}\right)\right)\right)
tan
−
1
(
sin
(
cos
−
1
(
3
2
)
)
)
is [Online May 19, 2012] (a)
π
4
\frac{\pi}{4}
4
π
(b)
π
2
\frac{\pi}{2}
2
π
(c)
π
3
\frac{\pi}{3}
3
π
(d)
π
6
\frac{\pi}{6}
6
π
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