Range of a Sine Mixture

★ 7/10functions trigonometry Limits Estimation inequality

Problem

Let $x, y > 0$ . Find the range of possible values of

m = \frac{1}{1 + \sin(xy)} + \frac{\sin^2 x + \sin^2 y}{1 + xy}.

Answer

Solution

Difficulty	7/10
Topics	functions, trigonometry, Limits, Estimation, inequality

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