Question

Вычислите :
arcsin(sin((-17/5)П)=

Answer 1

$displaystyle arcsinbigg(sinbigg(-frac{17pi}{5} bigg)bigg)=arcsinbigg(sinbigg(-3pi -frac{2pi}{5} bigg)bigg)=arcsinbigg(sin frac{2pi}{5} bigg)=frac{2pi}{5}$

Answer 2

$arcsin(sin(frac{-17}{5} pi))=arcsin(sin(frac{-15pi-2pi}{5}))=arcsin(sin({-3pi-frac{2pi}{5}))=arcsin(sin(frac{2pi}{5}))=frac{2}{5}pi$