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Trigonometrymedium
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If f(x)=2sin⁡(x)f(x) = 2\sin(x)f(x)=2sin(x) and g(x)=cos⁡(x)g(x) = \cos(x)g(x)=cos(x), what is the maximum value of the function h(x)=f(x)+g(x)h(x) = f(x) + g(x)h(x)=f(x)+g(x)?