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Mathematics
Mathematics
Problem
For
x
∈
(
−
1
,
1
)
x\in(-1,1)
x
∈
(
−
1
,
1
)
, simplify
tan
(
arcsin
x
)
\tan\bigl(\arcsin x\bigr)
tan
(
arcsin
x
)
. a)
1
−
x
2
x
\displaystyle\frac{\sqrt{1-x^{2}}}{x}
x
1
−
x
2
b)
1
−
x
2
1-x^{2}
1
−
x
2
c)
x
1
−
x
2
\displaystyle\frac{x}{\sqrt{1-x^{2}}}
1
−
x
2
x
d)
x
1
−
x
2
\displaystyle\frac{x}{1-x^{2}}
1
−
x
2
x
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