Question

Discuss the transformation , W=cos z
​

Answer 1

Answer:

Discuss the transformations (a) w(z) = sin z, (b) w(z) = cos z, (c) w(z) = sin h z, (d) w (z) = cos h z. Show how the lines x = c_1, y = c_2 map into the w-plane. Note that the last three transformations can be obtained from the first one by appropriate translation and/or rotation.