7. Let f(z) = i log(cos(z) - 2) with f(0) = -. (a) State a domain...

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7. Let f(z) = i log(cos(z) - 2) with f(0) = -. (a) State a domain on which f(z) is analytic. If no such domain exists, say so. Fully justify your answer. (b) State a domain on which f(z) is not analytic. If no such domain exists, say so. Fully justify your answer. 7. Let f(z) = i log(cos(z) - 2) with f(0) = -. (a) State a domain on which f(z) is analytic. If no such domain exists, say so. Fully justify your answer. (b) State a domain on which f(z) is not analytic. If no such domain exists, say so. Fully justify your answer.