If `alpha` is a real root of the equation `x^(3)+3x-tan2=0` then `cot^(-1)alpha+"cot"^(-1)1/(alpha)-(pi)/2` can be equal to

If alpha is a real root of the equation x^(2)+3x-tan2=0 then cot^(-1)alpha+"cot"^(-1)1/(alpha)-(pi)/2 can be equal to

If alpha is a real root of the equation x^(2)+3x-tan2=0 then cot^(-1)alpha+"cot"^(-1)1/(alpha)-(pi)/2 can be equal to

If alpha is only real root ofthe equation x^(3)+(cos1)x^(2)+(sin1)x+1=0, then (tan^(-1)alpha+(tan^(-1)1)/(alpha)) canot be equal to-

If alpha is a non real root of the equation x^(6)-1=0 then (alpha^(2)+alpha^(3)+alpha^(4)+alpha^(5))/(alpha+1)

If alpha is the only real root of the equation x^(3)+bx^(2)+cx+1=0(b

If alpha" and "beta are the roots of the equation x^(2)+3x-4=0 , then (1)/(alpha)+(1)/(beta) is equal to

If alpha and beta are the roots of the equation x ^(2) + 3x - 4 = 0 , then (1)/(alpha ) + (1)/(beta) is equal to

If alpha, beta are the roots of the equations 6x^2+11x+3=0 , then a)Both cos^(-1) alpha and cos^(-1) beta are real b)Both "cosec"^(-1) alpha and "cosec"^(-1) beta are real c)Both cot^(-1) alpha and cot^(-1) beta are real d)None of these

If alpha and beta are the roots of the equation x^(2)+5x-49=0, then find the value of cot(cot^(-1)alpha+cot^(-1)beta)