Question: 3. (20 points) Sections 3.2-3.4 a. Show that | sin z|2 = sin x + sinh. b. Use part (a) to show that the

3. (20 points) Sections 3.2-3.4 a. Show that | sin z|2 = sin x + sinh. b. Use part (a) to show that the complex sine function is not bounded: for any M > 0, there exist a z such that sin z > M. c. Solve the equation cos z = 3. d. For one root of (choose any root you wish) the above equation, verify that sin + cos z = 1.

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