[Solved] The positive integer value of n > 3 satisfying the equation \\frac{1}{\\sin\\left(\\frac{\\pi}{n}\\right)} = \\frac{1}{\\sin\\left(\\frac{2 \\pi}{n}\\right)} + \\frac{1}{\\sin\\left(\\frac{3 \\pi}{n}\\right)} is - - JEE (Advanced) 2011 Paper-1