Задача 12502 4sin(p-p/3)*cos(p/6)+4sin7p/6*cosp/3...

mari_nuzhnaya

23.12.2016

4sin(p-p/3)*cos(p/6)+4sin7p/6*cosp/3
Найдите значение выражения

SOVA

23.12.2016

★

4sin(p–p/3)·cos(p/6)+4sin(7p/6)·cos(p/3) =
=4sin(2p/3)·cos(p/6)+4sin( p+(p/6))·cos(p/3) =

=4sin(p/3)·cos(p/6)-4sin(p/6)·cos(p/3) =
=4*(sqrt(3)/2)*(sqrt(3)/2)-4*(1/2)*(1/2)=
=3-1=2