 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2007/paper-2/section-a/6/solution

The two factors have moduli

2

and

2

π /4

and

π /6

∣ z ∣ = 22, ar g z = \frac{5 π}{12} (mod 2 π) .

The displayed angle is the principal argument in radians; equivalently the argument is

7 5^{\circ}

36 0^{\circ}

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