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show that f: R^2->R^2 be f(x,y)= (cosx + cosy, sinx + siny). show that f is...

show that f: R^2->R^2 be f(x,y)= (cosx + cosy, sinx + siny). show that f is locally invertible near all points (a,b)such that a-bis not = kpi where k in z and all other points have no local inverse exists  

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