Saturday, April 21, 2018
maximum minimum of function
For A,B,C non-negative angles such that A+B+C = \pi / 2, find the maximum and minimum of:
f = \sin A + \sin B + \sin C + \sin^2 A + \sin^2 B + \sin^2 C
and
g = \cos A (\sin A -1) + \cos B (\sin B - 1) + \cos C (\sin C - 1)
Labels:
Algebra,
convex,
Inequality,
jensen,
karamata,
majorization,
maximum,
minimum,
trigonometry
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