化简 sin^2(π/3,x)+sin^2(π/6+x)
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化简 sin^2(π/3,x)+sin^2(π/6+x)
化简 sin^2(π/3,x)+sin^2(π/6+x)
化简 sin^2(π/3,x)+sin^2(π/6+x)
如果 sin^2(π/3+x)
sin^2(π/3+x)+sin^2(π/6+x)=1/2(1-cos[2π/3+2x])+1/2(1-cos[π/3+2x])
=1-1/2[cos[2π/3+2x]+cos[π/3+2x]]
=1-1/2[cos2π/3cos2x-sin2π/3sin2x+cosπ/3cos2x-sinπ/3sin2x]
=1-1/2[-根号3*sin2x]=1-根号3/2*sin2x
如果 sin^2(π/3-x)
sin^2(π/3-x)+sin^2(π/6+x)=1/2(1-cos[2π/3-2x])+1/2(1-cos[π/3+2x])
=1-1/2[cos[2π/3-2x]+cos[π/3+2x]]
=1-1/2[cos2π/3cos2x+sin2π/3sin2x+cosπ/3cos2x-sinπ/3sin2x]
=1
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