f(a)=[sin(pai-a)cos(2pai-a)tan(-a+3pai/2)]/[cos(-pai-a)]则f(-31pai/3)=

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f(a)=[sin(pai-a)cos(2pai-a)tan(-a+3pai/2)]/[cos(-pai-a)]则f(-31pai/3)=
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f(a)=[sin(pai-a)cos(2pai-a)tan(-a+3pai/2)]/[cos(-pai-a)]则f(-31pai/3)=
f(a)=[sin(pai-a)cos(2pai-a)tan(-a+3pai/2)]/[cos(-pai-a)]则f(-31pai/3)=

f(a)=[sin(pai-a)cos(2pai-a)tan(-a+3pai/2)]/[cos(-pai-a)]则f(-31pai/3)=
诱导公式
f(a)=sinacosacota/(-cosa)
=-sinacota
=-sina(cosa/sina)
=-cosa
所以f(-31π/3)
=-cos(-31π/3)
=-cos(31π/3)
=-cos(10π+π/3)
=-cos(π/3)
=-1/2