Let x ^ 2 + (Y-1) ^ 2 ≤ 4, find the maximum value of (x + Y-1) / (X-Y + 3)

X ^ 2 + (Y-1) ^ 2 ≤ 4, associated with trigonometric function, we can make x = 2cosay-1 = 2sina, that is y = 2sina + 1, and a belongs to - π / 2 "a" π / 2 so x + Y-1) / (X-Y + 3) = 2sina + 2cosa / 2cosa-2sina + 2, let 2sina + 2cosa / 2cosa-2sina + 2 = t so (2-2t) cosa + (2 + 2t) Sina = 2T so √ (...)

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