若cot(-a-4π/3)=-5,则cot(π/3+a)=?

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cot(-a-4π/3)
=cot[(-a-π/3)-π]
=-cot[π-(-a-π/3)]
=cot(-a-π/3)
=-cot(a+π/3)
若cot(-a-4π/3)=-5,则cot(π/3+a)=5

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