化简:sin^2(A-30度)+sin^2(A+30度)-sin^2A

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化简:sin^2(A-30度)+sin^2(A+30度)-sin^2A
化简:sin^2(A-30度)+sin^2(A+30度)-sin^2A

化简:sin^2(A-30度)+sin^2(A+30度)-sin^2A
sin^2(A-30)+sin^2(A+30)-sin^2A
=1/2[1-cos(2A-60)]+1/2[1-cos(2A+60)]-1/2[1-cos2A]
=1/2[1-cos(2A-60)-cos(2A+60)+cos2A]
=1/2[1-2cos2Acos60+cos2A]
=1/2[1-cos2A+cos2A]
=1/2