Let A+B+C=π and α=sin3(B+C)⋅sin(2C+A),β=sin3(A+C)⋅sin(2A+B),γ= – InterviewSolution

1.	Let A+B+C=π and α=sin3(B+C)⋅sin(2C+A),β=sin3(A+C)⋅sin(2A+B),γ=sin3(A+B)⋅sin(2B+C)are roots of the cubic equation x3+ax2+bx+c=0, then the value of a is
Answer» Let $A + B + C = π$ and $α = {sin}^{3} (B + C) \cdot sin (2 C + A), β = {sin}^{3} (A + C) \cdot sin (2 A + B), γ = {sin}^{3} (A + B) \cdot sin (2 B + C)$ are roots of the cubic equation $x^{3} + a x^{2} + b x + c = 0$ , then the value of $a$ is

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