Найти значение выражения 3:(sin²(-π/6) -cos²(-π/6) )
Объяснение:
3:(sin²(-π/6) -cos²(-π/6) )=-3:(cos²(-π/6)-sin²(-π/6) )=
( т.к. cos2α = cos² α − sin²α )
= -3: cos(2*(-π/6))=-3 : cos(-π/3)=
( т.к cos(-α )= cosα )
=-3: cos(π/3)=-3: 0,5=-6
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Найти значение выражения 3:(sin²(-π/6) -cos²(-π/6) )
Объяснение:
3:(sin²(-π/6) -cos²(-π/6) )=-3:(cos²(-π/6)-sin²(-π/6) )=
( т.к. cos2α = cos² α − sin²α )
= -3: cos(2*(-π/6))=-3 : cos(-π/3)=
( т.к cos(-α )= cosα )
=-3: cos(π/3)=-3: 0,5=-6