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Problem
## Miscellaneous Exercise on Chapter 2 13.
sin
(
tan
−
1
x
)
,
∣
x
∣
<
1
\sin \left(\tan ^{-1} x\right),|x|<1
sin
(
tan
−
1
x
)
,
∣
x
∣
<
1
is equal to (A)
x
1
−
x
2
\frac{x}{\sqrt{1-x^{2}}}
1
−
x
2
x
(B)
1
1
−
x
2
\frac{1}{\sqrt{1-x^{2}}}
1
−
x
2
1
(C)
1
1
+
x
2
\frac{1}{\sqrt{1+x^{2}}}
1
+
x
2
1
(D)
x
1
+
x
2
\frac{x}{\sqrt{1+x^{2}}}
1
+
x
2
x
(A)
x
1
−
x
2
\frac{x}{\sqrt{1-x^{2}}}
1
−
x
2
x
(B)
1
1
−
x
2
\frac{1}{\sqrt{1-x^{2}}}
1
−
x
2
1
(C)
1
1
+
x
2
\frac{1}{\sqrt{1+x^{2}}}
1
+
x
2
1
(D)
x
1
+
x
2
\frac{x}{\sqrt{1+x^{2}}}
1
+
x
2
x
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