Question

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

Answer 1

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=$frac{ sqrt{3}*cos(a)-sin(a)+sin(a) }{2}$=$frac{ sqrt{3}cos(a) }{2}$