Using Trigonometry in Geometry A regular hexagon whose sides are 16 cm is inscribed in a

Chapter 5, Problem 460

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The graph of \(y=\cos x-\frac{1}{2} \cos 2 x+\frac{1}{3} \cos 3 x\) is shown in the figure. The x-values that correspond to local maximum and minimum points are solutions of the equation sin x - sin 2x + sin 3x = 0. Solve this equation algebraically, and support your solution using the graph of y.

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