[Solved] If K=\\tan\\left(\\frac{\\pi}{4}+\\frac{1}{2}\\cos^{-1}\\left(\\frac{2}{3}\\right)\\right)+\\tan\\left(\\frac{1}{2}\\sin^{-1}\\left(\\frac{2}{3}\\right)\\right), then the number of solutions of the equation \\sin^{-1}(kx-1)=\\sin^{-1} x-\\cos^{-1} x is______. - - NTA JEE Mains 28th Jan 2026 Shift 1