Sin2α=2sinα*cosα⇒sinα*cosα =(sin2α)/2. sin(π -α) =sinα
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9.
cosπ/9*cos2π/9*cosπ/3*cos4π/9 =(1/2)*cosπ/9*cos2π/9*cos4π/9=
(1/2)*sinπ/9*cosπ/9*cos2π/9*cos4π/9 / sinπ/9=
(1/4)*sin2π/9*cos2π/9*cos4π/9 / sinπ/9=(1/8)*sin4π/9*cos4π/9 / sinπ/9=
(1/16)*sin8π/9 / sinπ/9=(1/16)*sin(π-π/9) / sinπ/9=(1/16)*sinπ/9) / sinπ/9 =1/16.
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10. y =sinx/8 -sin(x/8 -π/2) =sinx/8 -sin(-(π/2 - x/8))=sinx/8 +cosx/8 =√2sin(x/8 +π/4).
T =16π.
* * * sin(x+T)/8 +π/4) =sin(x/8+π/4 +T/8) = sin(x/8+π/4).
T/8 =2π⇒T =16π.
5*(a-7)-3*(a-4)= -13; 5a-35-3a+12= -13; 5a-3a= -13-12+35; 2a=10; a=10/2=5. Ответ: a=5.
Если_Гриша_делает_в_час_х_деталей,то_Толя_делает_(13-х)деталей.
Гриша_сделает_х*3,а_Толя_(13-х)*4.Всего_44.
3х+(13-х)*4=44
3х+52-4х=44
-х=44-52
-х=-8
х=8-Гриша_за_1_час.
13-8=5-Толя_за_1_час.