Tuesday, 20 August 2013

Maximum of a trigonometric Polynomial

Maximum of a trigonometric Polynomial

Given $$x+y+z=\pi$$ $$3\sin(x)+4\sin(y)+18 \sin(z)=A$$ QuestionFfind
maximum of $A$.
I spend so many time on this question.
answer is $ 35\sqrt{7} /4$, but why?

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