Question: complex numbers, trigonometry - part 2e 2c. [8 marks] Let 2 = 1, z E (II, n E N, n 2 5. Working in modulus/argument

complex numbers, trigonometry - part 2e

2c. [8 marks] Let 2" = 1, z E (II, n E N, n 2 5. Working in modulus/argument form find the nsolutions to this equation. 2d. [1 mark] Represent these 71 solutions on an Argand diagram. Let their positions be denoted by P0, P1, P2, Pn_1 placed in order in an anticlockwise direction round the circle, starting on the positive x-axis. Show the positions of P0, P1, P2 and Pn_.1. 2e. [4 marks} Show that the length of the line segment P0PI is 2 sin 2

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