Pearson Edexcel Level 3 GCE 9FM0/02 2022 Further Mathematics Advanced PAPER 2: Core Pure Mathematics 2

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A student was asked to answer the following: For the complex numbers z1 = 3 – 3i and z2 = 3 + i, find the value of arg z z 1 2   The student’s attempt is shown below. arg(... z1) = tan–1 3 3   = π4 arg(z2) = tan–1 1 3   = π6 arg zz 1 2   = arg( ) arg( ) zz 1 2 = π4       π6       = 3 2 The student made errors in line 1 and line 3 Correct the error that the student made in (a) (i) line 1 (ii) line 3 (2) (b) Write down the correct value of arg z z 1 2   (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ________________________________________________________ [Show More]

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