Answer to Question #164577 in Real Analysis for Ebenezer

Question #164577

Define f(x) = sinx on [0, 2pi]. Find two increasing functions h and g for which f = h — g on

[0, 2pi].

Expert's answer

"\\displaystyle\n\nf = \\sin{x} = \\cos\\left(\\frac{\\pi}{2} - x\\right) \\\\\n\nf = h \\mapsto g \\\\\n\nh(x) = \\frac{\\pi}{2} - x,\\,\\,g(x) = \\cos{x}"

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