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If the roots of the equation x^(3)-10x+1...

If the roots of the equation `x^(3)-10x+11=0` are u, v, and w, then the value of
`3cosec^(2)(tan^(-1)u+tan^(-1)v+tan^(-1)w)` is

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Knowledge Check

  • The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

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  • If alpha, beta, gamma are the roots of the equation x^(3)+mx^(2)+3x+m=0 , then the general value of Tan^(-1)alpha+Tan^(-1)beta+Tan^(-1)gamma is

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