2. Упростите выражения 1/2sin α + cos( π/6 + α).. Created by Дагочка. algebra-ru

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2. Упростите выражения
1/2sin α + cos( π/6 + α).

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VanyOK97 1/2sin(α) + cos(π/6+α)= 1/2sin(α)+cos(π/6)·cos(α)-sin(α)·sin(π/6)=1/2sin(α)+(√3/2)·cos(α)-sin(α)·1/2= $\frac{ \sqrt{3}*cos(a)-sin(a)+sin(a) }{2}$ = $\frac{ \sqrt{3}cos(a) }{2}$

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