Question Number 56832 by maxmathsup by imad last updated on 24/Mar/19
$${let}\:\:{Z}_{{n}} \left({x}\right)={sin}\left({narcsinx}\right)\:\:{with}\:{n}\:{integr} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{roots}\:{of}\:{Z}_{{n}} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{decompose}\:{the}\:{fraction}\:{F}\:=\frac{\mathrm{1}}{{Z}_{{n}} \left({x}\right)} \\ $$