Question: a) Consider w=2( 2 (cos + i sin) Express w and w in modulus-argument form. [3 marks] b) Sketch on an Argand diagram the
a) Consider w=2( 2 (cos + i sin) Express w and w in modulus-argument form. [3 marks] b) Sketch on an Argand diagram the points represented by w, w1, w and w. c) These four points form the vertices of a quadrilateral, Q. Show that the area of the quadrilateral Q is 213 2 [2 marks] [3 marks] d) Let z = 2 (cos + i sin ), n = Z+. The points represented on an Argand diagram by zo, z, z2, n z form the vertices of a polygon Pn. - Show that the area of the polygon P can be expressed in the form a(b" 1)sin, where a, b R. [6 marks]
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