[Solved] The value of \\sec^{-1} \\left(\\frac{1}{4}\\sum_{k = 0}^{10} \\sec \\left(\\frac{7\\pi}{12} + \\frac{k\\pi}{2}\\right) \\sec \\left(\\frac{7\\pi}{12} + \\frac{\\left(k + 1\\right)\\pi}{2}\\right) \\right) in the interval \\begin{bmatrix}-\\frac {\\pi}{4}, & \\frac{3\\pi}{4} \\end{bmatrix} equals _______ - - JEE (Advanced) 2019 Paper-2