a. Write the following complex function in the form of (). (, ) = sin cosh + cos sinh b. Draw the image of the W-plane into which the region bounded by the straight lines in the Z-plane = 2 , = 2 , = 1 and = 2 under the mapping = sin . c. Consider the following transformation. = 3 2 Show that the transformation transforms the circle 2 + 2 5 + 6 = 0 in the -plane into the = 0 axis in the -plane and the interior of the given circle into the right half of the -plane.