If α and β are the roots of the equation x2−4x+1=0 (α>β), then t – InterviewSolution

1.	If α and β are the roots of the equation x2−4x+1=0 (α>β), then the value of f(α,β)=β32cosec2(12tan−1βα)+α32sec2(12tan−1αβ) is
Answer» If $α$ and $β$ are the roots of the equation $x^{2} - 4 x + 1 = 0$ $(α > β),$ then the value of $f (α, β) = \frac{β^{3}}{2} {cosec}^{2} (\frac{1}{2} {tan}^{- 1} \frac{β}{α}) + \frac{α^{3}}{2} {sec}^{2} (\frac{1}{2} {tan}^{- 1} \frac{α}{β})$ is

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