MathB.in - Share Mathematics with LaTeX and Markdown

\[\tan ^{-1}\left(\frac{-\frac{1}{4} \left(\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}\right)^{3/2}+\frac{\sqrt[3]{3 \left(9+\sqrt{129}\right)} \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}{4\ 2^{2/3}}-\frac{1}{16} \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}-\frac{3^{2/3} \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}{2 \sqrt[3]{2 \left(9+\sqrt{129}\right)}}-\frac{1}{4} \left(-\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{2}+\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}-\frac{7}{4 \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}\right)^{3/2}+\frac{1}{8} \sqrt{-\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{2}+\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}-\frac{7}{4 \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}}-\frac{\sqrt[3]{3 \left(9+\sqrt{129}\right)} \sqrt{-\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{2}+\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}-\frac{7}{4 \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}}}{4\ 2^{2/3}}-\frac{3}{4} \sqrt{\left(\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}\right) \left(-\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{2}+\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}-\frac{7}{4 \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}\right)}+\frac{3^{2/3} \sqrt{-\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{2}+\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}-\frac{7}{4 \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}}}{2 \sqrt[3]{2 \left(9+\sqrt{129}\right)}}+\frac{1}{4}+\frac{21}{32 \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}}{-\frac{1}{2} \sqrt{-\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{2}+\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}-\frac{7}{4 \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}}}-\frac{1}{2} \sqrt{\frac{\sqrt[3]{9+\sqrt{129}}}{6^{2/3}}+\frac{1}{4}-\frac{2^{2/3}}{\sqrt[3]{3 \left(9+\sqrt{129}\right)}}}-\frac{1}{4}}\right)+\pi\]

Thu, 10 Jul 2014 14:02 GMT