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Problem
Problem
If
0
<
x
<
1
0 < x < 1
0
<
x
<
1
, then
1
+
x
2
{
[
x
cos
(
cot
−
1
x
)
+
sin
(
cot
−
1
x
)
]
2
−
1
}
1
/
2
\sqrt{1+x^2}\left\{[x\cos(\cot^{-1}x)+\sin(\cot^{-1}x)]^2-1\right\}^{1/2}
1
+
x
2
{
[
x
cos
(
cot
−
1
x
)
+
sin
(
cot
−
1
x
)
]
2
−
1
}
1/2
is equal to a.
x
1
+
x
2
\frac{x}{\sqrt{1+x^2}}
1
+
x
2
x
b.
x
x
x
c.
x
1
+
x
2
x\sqrt{1+x^2}
x
1
+
x
2
d.
1
+
x
2
\sqrt{1+x^2}
1
+
x
2
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