化简；sin^2 A+sin^2(A-π/3)+sin^2(A+π/3)
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化简；sin^2A+sin^2(A-π/3)+sin^2(A+π/3)化简；sin^2A+sin^2(A-π/3)+sin^2(A+π/3)化简；sin^2A+sin^2(A-π/3)+sin^2(A
化简；sin^2 A+sin^2(A-π/3)+sin^2(A+π/3)
化简；sin^2 A+sin^2(A-π/3)+sin^2(A+π/3)
化简；sin^2 A+sin^2(A-π/3)+sin^2(A+π/3)
(sinA)^2+[sin(A-π/3)]^2+[sin(A+π/3)]^2
=(sinA)^2+[(1/2)sinA-(√3/2)cosA)]^2+[(1/2)sinA-(√3/2)cosA)]^2
=(sinA)^2+2 { [(1/2)sinA]^2+[(√3/2)cosA)]^2 }
= (3/2)(sinA)^2 + (3/2)(cosA)^2
=3/2
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