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Problem
## Miscellaneous Exercise on Chapter 2 Prove that 8.
tan
−
1
x
=
1
2
cos
−
1
1
−
x
1
+
x
,
x
∈
[
0
,
1
]
\tan ^{-1} \sqrt{x}=\frac{1}{2} \cos ^{-1} \frac{1-x}{1+x}, x \in[0,1]
tan
−
1
x
=
2
1
cos
−
1
1
+
x
1
−
x
,
x
∈
[
0
,
1
]
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