Given 0<x≤(π/2), 0<y≤(π/2), Let z_1 =((cos x)/(sin y))+((cos y)/(sin x)) i ,and ∣z_1 ∣=2 ; If z_2 =(√x)+(√(y ))i ,then what is the maximum value of ∣z_1 −z


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Question Number 107571 by ZiYangLee last updated on 11/Aug/20

$G iven 0 < x ⩽ \frac{π}{2}, 0 < y ⩽ \frac{π}{2},$ $Let z_{1} = \frac{\cos x}{\sin y} + \frac{\cos y}{\sin x} i, and ∣ z_{1} ∣= 2;$ $If z_{2} = \sqrt{x} + \sqrt{y} i, then what is the$ $maximum value of ∣ z_{1} - z_{2} ∣ .$
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