If A=4(cos2π15+cos4π15−cos7π15−cosπ15) and B=8cot(α+β+γ), w – InterviewSolution

1.	If A=4(cos2π15+cos4π15−cos7π15−cosπ15) and B=8cot(α+β+γ), where tanα,tanβ,tanγ are the real roots of the equation x3−8(a−b)x2+(2a−3b)x−4(b+1)=0, then the value of A−B is
Answer» If $A = 4 (cos \frac{2 π}{15} + cos \frac{4 π}{15} - cos \frac{7 π}{15} - cos \frac{π}{15})$ and $B = 8 cot (α + β + γ)$ , where $tan α, tan β, tan γ$ are the real roots of the equation $x^{3} - 8 (a - b) x^{2} + (2 a - 3 b) x - 4 (b + 1) = 0$ , then the value of $A - B$ is

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