化简sin(30+α)-sin(30-α)

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化简sin(30+α)-sin(30-α)

化简sin(30+α)-sin(30-α)
化简sin(30+α)-sin(30-α)

化简sin(30+α)-sin(30-α)
sin(30+α)-sin(30-α)
=sin30cosa+cos30sina-sin30cosa+cos30sina
=2cos30sina
=√3sina

=(sin30cosα+cos30sinα)-(sin30cosα-cos30sinα)
=2cos30sinα
=(根号3)sinα

sin平方(α-30)+sin平方(α+30)-sin平方α =[sinα *cos30 -cosα*sin30]^2 + [sinα *cos30 -cosα*sin30]^2 -(sinα)^2 =2*(