Plot[Piecewise[{{Cos[\[Pi]/2 + x/2], x < \[Pi]}, {Cos[x], x >= \[Pi]}}],{x,0,2Pi}]Plot[Piecewise[{{Cos[\[Pi]/2 + x/2], x < \[Pi]}, {Cos[x], x >= \[Pi]}}],{x,0,2Pi}]

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