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Trigonometry

Source: 1997 National High School Mathematics League, Exam One, Problem 13

March 4, 2020
trigonometry

Problem Statement

x≥y≥z≥π12,x+y+z=π2x\geq y\geq z\geq \frac{\pi}{12},x+y+z=\frac{\pi}{2}, find the maximum and minumum value of cos⁡xsin⁡ycos⁡z\cos x\sin y\cos z.
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