If tanθ1,tanθ2,tanθ3 and tanθ4 are the roots of the equation x4− – InterviewSolution

1.	If tanθ1,tanθ2,tanθ3 and tanθ4 are the roots of the equation x4−x3 sin2β+x2cos2β−xcosβ−sinβ=0 then tan(θ1+θ2+θ3+θ4)=
Answer» If $t a n θ_{1}, t a n θ_{2}, t a n θ_{3}$ and $t a n θ_{4}$ are the roots of the equation $x^{4} - x^{3} s i n 2 β + x^{2} c o s 2 β - x c o s β - s i n β = 0$ then $t a n (θ_{1} + θ_{2} + θ_{3} + θ_{4}) =$

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