sin^2(a-π/6)+sin^2(a+π/6)-sin^2a
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sin^2(a-π/6)+sin^2(a+π/6)-sin^2asin^2(a-π/6)+sin^2(a+π/6)-sin^2asin^2(a-π/6)+sin^2(a+π/6)-sin^2a原式=s
sin^2(a-π/6)+sin^2(a+π/6)-sin^2a
sin^2(a-π/6)+sin^2(a+π/6)-sin^2a
sin^2(a-π/6)+sin^2(a+π/6)-sin^2a
原式=sin(a-30°)sin(a-30°)+sin(a+30°)sin(a+30°)-sina*sina
=(√3sina/2-cosa/2)(√3sina/2-cosa/2)+(√3sina/2+cosa/2)(√3sina/2+cosa/2)-sina*sina
=3sina*sina/4-(√3sina*cosa)/2+cosa*cosa/4+3sina*sina/4+(√3sina*cosa)/2+cosa*cosa/4-sina*sina
=(sina*sina+cosa*cosa)/2=1/2
sin^2(a-π/6)+sin^2(a+π/6)-sin^2a
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