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Given that the inverse trigonometric functions assume principal values only. Let x,y\in[-1,1] such that \cos^-1x-\sin^-1y=α, with -\dfracπ2\leα\leπ. Then, the minimum value of x^2+y^2+2xy\sinα is: | Watch the step-by-step video solution for this NIMCET PYQ.