Show that sin(z) satisfies the CAUCHY - RIEMANN conditions for analyticity for all values of z. Does [1/sin(z)] satisfy similar conditions? Calculate the derivative of [1/sin(z)] at z=0, \pm \Pi /2,\pm \Pi,\pm 3\Pi/2. Comment on each answer.

Show that sin(z) satisfies the CAUCHY - RIEMANN conditions for analyticity for all values of z. Does [1/sin(z)] satisfy similar conditions? Calculate the derivative of [1/sin(z)] at z=0, \pm \Pi /2,\pm \Pi,\pm 3\Pi/2. Comment on each answer.


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