Question

Solve
$\sin \left(2{\sin }^{-1}0.6\right)$

Answer 1

We have,

$\sin \left(2{\sin }^{-1}0.6\right)$

We know that

$2{\sin }^{-1}x={\sin }^{-1}\left(2x\sqrt{1-x^2}\right)$

So,

$\sin \left({\sin }^{-1}\right(2\times 0.6\sqrt{1-{0.6}^2}\left)\right)$

$=\sin \left({\sin }^{-1}0.96\right)=0.96$

Hence, this is the answer.