7 8 Let log z be the principal branch of logarithm Is there an open...

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7 8 Let log z be the principal branch of logarithm Is there an open convex set D such that log z is analytic in D and 1 ie D 7 9 Use the fact that the range of the exponential function e is equal to C C 0 to show that both sinz and cos z have ranges equal to C Hint Use Euler Formulas

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7 8 Let log z be the principal branch of logarithm Is there an open convex set D such that log z is analytic in D and 1 ie D 7 9 Use the fact that the range of the exponential function e is equal to C C 0 to show that both sinz and cos z have ranges equal to C Hint Use Euler Formulas

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