If x1, x2, x3, x4 are roots of the equation x4–x3 sin2β+x2cos2β– – InterviewSolution

1.	If x1, x2, x3, x4 are roots of the equation x4–x3 sin2β+x2cos2β–xcosβ–sinβ=0 then ∑4i=1 tan−1 xi is equal to
Answer» If $x_{1}, x_{2}, x_{3}, x_{4}$ are roots of the equation $x^{4} - x^{3}$ $s i n 2 β + x^{2} c o s 2 β - x c o s β - s i n β = 0 t h e n \sum_{i = 1}^{4} t a n^{- 1} x_{i}$ is equal to

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