Вычислите: sin(arcsin(12/13)-arccos(15/17)) - вопрос №504803912131517 от Losvlosinavhlasinah 17.07.2020 06:55

Question

Алгебра: Вычислите: sin(arcsin(12/13)-arccos(15/17))

Losvlosinavhlasinah · Answer

=sin(arcsin12/13)*cos(arccos15/17)-cos(arcsin12/13)*sin(arccos15/17)=12/13*15/17-
-√(1-(12/13)^2))*(√(1-(15/17)^2)=(12*15)/(13*17)-√(1-144/169)*√(1-225/289)=
=180/221-√25/169*√64/289=180/221-5/13*8/17=180/221-40/221=140/221