Question

y=tan^–1(x/√1-x²) please help

Answer 1

$take \: x = \sin( \alpha ) \\ then \\ arctan \frac{ \sin( \alpha ) }{ \sqrt{1 - { (\sin( \alpha )) }^{2} } } \\ arctan( \frac{ \sin( \alpha ) }{ \cos( \alpha ) } ) \\ \\ arctan(tan \alpha ) \\ = \alpha \\ \alpha = arcsinx$
hope this will help you.