If α=tan−112+tan−113, β=cos−123+cos−1√53 and γ=sin−1(si – InterviewSolution

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1.	If α=tan−112+tan−113, β=cos−123+cos−1√53 and γ=sin−1(sin2π3)+12cos−1(cos2π3), then the value of tanα−tan(β2)+√3tan(γ4) is equal to
Answer» If $α = {tan}^{- 1} \frac{1}{2} + {tan}^{- 1} \frac{1}{3},$ $β = {cos}^{- 1} \frac{2}{3} + {cos}^{- 1} \frac{\sqrt{5}}{3}$ and $γ = {sin}^{- 1} (sin \frac{2 π}{3}) + \frac{1}{2} {cos}^{- 1} (cos \frac{2 π}{3}),$ then the value of $tan α - tan (\frac{β}{2}) + \sqrt{3} tan (\frac{γ}{4})$ is equal to

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