17.13 Let g be holomorphic in C and assume there exists a finite constant M such...

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17.13 Let g be holomorphic in C and assume there exists a finite constant M such that |g(z)| M|sin z (z C). z| Prove that g(z) = K sinz on C, for some constant K with |K| M. (Hint: consider g(z)/sin z.) 17.13 Let g be holomorphic in C and assume there exists a finite constant M such that |g(z)| M|sin z (z C). z| Prove that g(z) = K sinz on C, for some constant K with |K| M. (Hint: consider g(z)/sin z.)