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  • $\begingroup$ You will have a better chance by reducing your problem to 1D; replace y with Sqrt[1-x^2] with the constraint -1<=x<=1 (your Cost function depends only on y^2 anyways). $\endgroup$ Commented May 21, 2015 at 17:39
  • $\begingroup$ @b.gatessucks That worked. But I do need to extend this function to a large number of variables. So, is there any general thing that will work. $\endgroup$ Commented May 21, 2015 at 17:49
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    $\begingroup$ Why not parametrize? {Cos[t], Sin[t]} /. t -> ArgMin[{Cost[0.27, 0.96286, Cos[t], Sin[t]], 0 <= t < 2 π}, t] $\endgroup$ Commented May 21, 2015 at 18:27