Maximum and minimum values of function y = SiNx * cosx + SiNx + cosx

Let t = SiNx + cosx (- 2 ^ 0.5 ≤ t ≤ 2 ^ 0.5), then T ^ 2 = (SiNx) ^ 2 + 2sinxcosx + (cosx) ^ 2 = 2sinxcosx + 1 ∪ sinxcosx = T ^ 2 / 2-1 / 2 ∪ y = T ^ 2 / 2 + T-1 / 2 and ∫ - 2 ^ 0.5 ≤ t ≤ 2 ^ 0.5 ∪ - 1 ≤ y ≤ 2 ^ 0.5 + 1 / 2

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