Question Number 25655 by rita1608 last updated on 12/Dec/17
$${use}\:{lagranges}\:{mean}\:{value}\:{theorem}\:{to} \\ $$ $${prove}\:{that}\: \\ $$ $${x}<{sin}^{−\mathrm{1}} {x}<\frac{{x}}{\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }},\mathrm{0}<{x}<\mathrm{1}. \\ $$