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Mathematics
Mathematics
Problem
Show that a.
(i)
sin
−
1
(
2
x
1
−
x
2
)
=
2
sin
−
1
x
,
−
1
2
≤
x
≤
1
2
\text{(i)} \sin^{-1} (2x\sqrt{1-x^2}) = 2 \sin^{-1} x, \quad -\frac{1}{\sqrt{2}} \le x \le \frac{1}{\sqrt{2}}
(i)
sin
−
1
(
2
x
1
−
x
2
)
=
2
sin
−
1
x
,
−
2
1
≤
x
≤
2
1
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