1,5 · 1/6 = 3/2 · 1/6 = (1·1)/(2·2) = 1/4
Пояснения: 1,5 = 15/10 = 3/2 - сократили на 5
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2 1/7 · 2,8 = 15/7 · 14/5 = (3·2)/(1·1) = 6
Пояснения: 2,8 = 28/10 = 14/5 - сократили на 2
(cos23π/12-sin11π/12)(sin17π/12-cos19π/12)
=(cos(2π-π/12)-sin(π-π/12))*
(sin(π+5π/12)-cos(2π-5π/12)=
(cosπ/12-sinπ/12)(-sin5π/12-cos5π/12)=
(cosπ/12-sinπ/12)(-sin(π/2-π/12)-
cos(π/2-π/12))==
(cosπ/12-sinπ/12)(-1)(cosπ/12+sinπ/12)=
-(cos²π/12-sin²π/12)=-cosπ/6=-√3/2