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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

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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 -1i 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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