求arctan[cot(-4)]

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求arctan[cot(-4)]求arctan[cot(-4)]求arctan[cot(-4)]由tan(kπ+π/2-x)=cotx,(k为任意整数)得cot(-4)=tan(kπ+π/2+4),则

求arctan[cot(-4)]
求arctan[cot(-4)]

求arctan[cot(-4)]
由tan(kπ+π/2-x)=cotx,(k为任意整数)
得cot(-4)=tan(kπ+π/2+4),
则arctan[cot(-4)]=arctan(tan(kπ+π/2+4))=kπ+π/2+4(k为任意整数).

4-π/2