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Problem 1 (4.5 pts). (a) Find all zeroes of the function sinh(7 z) f ( 2 ) = in domain D = C. sin (7z) (b) Also find all singular points of this function and determine their types (removable, pole (in which case what is it's order), essential singularity, not isolated singularity). (c) In particular, if co is in the domain: check whether it is a zero (if so, of which order?)): investigate g(w) = f(1/w) at w = 0). (d) Draw these points on the complex plane