Question: Consider w -2 (cos= + isin* ) 7a. Express w2 and w3 in modulus-argument form. [3 marks] 7b. Sketch on an Argand diagram the points

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Consider w -2 (cos= + isin* ) 7a. Express w2 and w3 in modulus-argument form. [3 marks] 7b. Sketch on an Argand diagram the points represented by wo , wi , w2 and [2 marks] W . These four points form the vertices of a quadrilateral, Q. NA Windows IMIDORATH Wine7C. Show that the area of the quadrilateral O is 21v3 [3 marks] 2 7d. Let z = 2 (cos# + isin") , ne Z . The points represented on an [6 marks] Argand diagram by zo, z1, 2, ..., 2" form the vertices of a polygon Pr. Show that the area of the polygon P,, can be expressed in the form a (b" - 1) sin ", where a, b C R
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