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(1) Find all functions f(z) that are analytic in the entire complex plane and satisfy 2|sin(z)|...

(1) Find all functions f(z) that are analytic in the entire complex plane and satisfy 2|sin(z)| ≥ |f(z)|.

(2) Find all functions f(z) that are analytic in the entire complex plane and satisfy 2|f(z)| ≥ |sin(z)|.

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