Question: (10 marks) Let z = 2 + 2i and 22 = e7in/4 (a) Write z in polar form (as rei) and 22 in rectangular

(10 marks) Let z = 2 + 2i and 22 = e7in/4

(10 marks) Let z = 2 + 2i and 22 = e7in/4 (a) Write z in polar form (as rei) and 22 in rectangular form (as x+iy), and plot both points in an Argand diagram. (b) Compute the following, giving all values if you think the expression is multivalued: i. 2122 ii. arg(2122) iii. Arg(2122) iv. 22/21 Give answers to (i) and (iv) in rectangular form. You are not expected to calculate exact values for quantities such as sin 2; just leave them as they are. You are expected to simplify the expressions when it is straightforward to do so.

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