已知f(a)=[sin(a-3π)cos^2(2π-a)sin(-a+3/2π)]/cos(-π-a)sin(-π-a)sin(π/2+a)①化简f(a) ②若a=-91π/3,求f(a)

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已知f(a)=[sin(a-3π)cos^2(2π-a)sin(-a+3/2π)]/cos(-π-a)sin(-π-a)sin(π/2+a)①化简f(a) ②若a=-91π/3,求f(a)
已知f(a)=[sin(a-3π)cos^2(2π-a)sin(-a+3/2π)]/cos(-π-a)sin(-π-a)sin(π/2+a)
①化简f(a) ②若a=-91π/3,求f(a)

已知f(a)=[sin(a-3π)cos^2(2π-a)sin(-a+3/2π)]/cos(-π-a)sin(-π-a)sin(π/2+a)①化简f(a) ②若a=-91π/3,求f(a)
①f(a)=[(-sina)cosa(-sina)]/[(-cosa)sinacosa]=-tana
②tan(-91π/3)=tan(-30π-π/3)=-tan(π/3)=-√3

f(a)=- tan (a)
tan(-91π/3)=-√3

f(a)=[sin(a-π)cos^2(a)sin(-a-π/2)]/[-cos(a)sin(a)cos(a)
f(a)=[-sin(a)cos^2(a)cos(a)]/[-cos(a)sin(a)cos(a)]
f(a)=cos(a)