f(x)=sin(x+π/6)+sin(x-π/6)+cosx+af(x)=2sinxcos(π/6)+cosx+a用的是什么公式?

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f(x)=sin(x+π/6)+sin(x-π/6)+cosx+af(x)=2sinxcos(π/6)+cosx+a用的是什么公式?

f(x)=sin(x+π/6)+sin(x-π/6)+cosx+af(x)=2sinxcos(π/6)+cosx+a用的是什么公式?
f(x)=sin(x+π/6)+sin(x-π/6)+cosx+a
f(x)=2sinxcos(π/6)+cosx+a
用的是什么公式?

f(x)=sin(x+π/6)+sin(x-π/6)+cosx+af(x)=2sinxcos(π/6)+cosx+a用的是什么公式?
用下面的公式化简
Sin(α+β)=sinαcosβ+sinβcosα

f(x)=sin(x+π/6)+sin(x-π/6)+cosx+a
=[sin(x)cos(π/6)+cos(x)sin(π/6)]+[sin(x)cos(π/6)-cos(x)sin(π/6)]+cosx+a
=2sinxcos(π/6)+cosx+a
用的是两角和与差的三角函数公式化简后是sinx*cosπ/6+sinx*cosπ/6+cosx+a

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f(x)=sin(x+π/6)+sin(x-π/6)+cosx+a
=[sin(x)cos(π/6)+cos(x)sin(π/6)]+[sin(x)cos(π/6)-cos(x)sin(π/6)]+cosx+a
=2sinxcos(π/6)+cosx+a
用的是两角和与差的三角函数公式

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