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Let S be the set of all solutions of the equation \cos^-1(2x)-2\cos^-1\!\big(√1-x^2\big)=π,\ x\in\left[-\dfrac12,\,\dfrac12\right]. Then \displaystyle ∑_x\in S 2\sin^-1(x^2-1) is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.