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Find the minimal value of the function - ILL 1990 VIE1

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September 19, 2010
functiontrigonometryinequalities unsolvedinequalities

Problem Statement

Find the minimal value of the function  f(x)=15−12cos⁡x+4−23sin⁡x+7−43sin⁡x+10−43sin⁡x−6cos⁡x\begin{array}{c}\ f(x) =\sqrt{15 - 12 \cos x} + \sqrt{4 -2 \sqrt 3 \sin x}+\sqrt{7-4\sqrt 3 \sin x} +\sqrt{10-4 \sqrt 3 \sin x - 6 \cos x}\end{array}
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