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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)

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