(b) (c) Find the image of the square 1 i under the transformation L(z) =...

 

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(b) (c) Find the image of the square ±1 ± i under the transformation L(z) = 3z-5+ 2i. Show that all angles are maintained both in magnitude and sense. [11 marks] Show that cot-¹(2) = In (²+1) and hence determine the principal value of z for which [6 marks] cotz = 2i (b) (c) Find the image of the square ±1 ± i under the transformation L(z) = 3z-5+ 2i. Show that all angles are maintained both in magnitude and sense. [11 marks] Show that cot-¹(2) = In (²+1) and hence determine the principal value of z for which [6 marks] cotz = 2i

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A The image of the square 1 i under the transformation L z 3 z 5 2 i is 2 5 i To show that all angles are maintained both in magnitude and sense we ca... View the full answer