化简 cos (π/12)+√3sin(π/12)=

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化简 cos (π/12)+√3sin(π/12)=
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化简 cos (π/12)+√3sin(π/12)=
化简 cos (π/12)+√3sin(π/12)=

化简 cos (π/12)+√3sin(π/12)=
=2×(1/2cosπ/12+√3/2sinπ/12)
=2×(sinπ/6* cosπ/12+ cosπ/6* sinπ/12)
=2×sinπ/4

cos (π/12)+√3sin(π/12)=2*[1/2*cos(π/12)+)+√3/2*sin(π/12)]=2*[sin(π/6)*cos(π/12)+cos(π/6)*sin(π/12]=2*sin(π/6+π/12)=2*sin(π/4)=根号2

原式=2(sin30 cos (π/12)+cos 30 sin(π/12))=2sin(30+15)=2sin45=根号2

结果=2*sin(pi/4)