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Mathematics
Mathematics
Problem
Statement I
$\sin^{-1}\left(\frac{1}{\sqrt{e}}\right) > \tan^{-1}\left(\frac{1}{\sqrt{\pi}}\right)
Statement II
sin
−
1
x
>
tan
−
1
y
\sin^{-1} x > \tan^{-1} y
sin
−
1
x
>
tan
−
1
y
for
x
>
y
x > y
x
>
y
,
∀
x
,
y
∈
(
0
,
1
)
\forall x, y \in (0, 1)
∀
x
,
y
∈
(
0
,
1
)
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