Question Number 207212 by hardmath last updated on 09/May/24
$$\mathrm{arcsin}\:\left(\mathrm{sin}\:\mathrm{6}\right)\:=\:? \\ $$
Commented by A5T last updated on 09/May/24
$${sin}^{−\mathrm{1}} \left({sin}\mathrm{6}\right)=\mathrm{6} \\ $$
Answered by Frix last updated on 09/May/24
$$\mathrm{sin}^{−\mathrm{1}} \:\mathrm{sin}\:\mathrm{6}°\:=\mathrm{6}° \\ $$$$\mathrm{sin}^{−\mathrm{1}} \:\mathrm{sin}\:\mathrm{6}^{\mathrm{rad}} \:=\left(\mathrm{6}−\mathrm{2}\pi\right)^{\mathrm{rad}} \\ $$
Commented by hardmath last updated on 10/May/24
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{dear}\:\mathrm{professor} \\ $$