The maximum of function y = cosx / 2 + sin (60-x / 2)

Y = cos (x / 2) + sin (60-x / 2) = cos (x / 2) + sin60cos (x / 2) - cos60sin (x / 2) = [(2 + √ 3) / 2] cos (x / 2) - (1 / 2) sin (x / 2) = {[(2 + √ 3) / 2] ^ 2 + (1 / 2) ^ 2} sin (A-X / 2) = √ [(7 + 4 √ 3) / 4 + 1 / 4] sin (A-X / 2) = √ (2 + √ 3) sin (A-X / 2) where Tana = [(2 + √ 3) / 2] /

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