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VICSpecialist MathematicsQuick questions

Unit 3: Algebra, number and structure

Quick questions on Complex numbers in Cartesian and polar form: VCE Specialist Mathematics Unit 3

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?
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Write z=−1+3 iz = -1 + \sqrt{3}\,i in polar form. [2 marks]
What is q2?
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Simplify 43+i\dfrac{4}{3 + i} to Cartesian form. [2 marks]
What is q3?
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If z1=2 cis π3z_1 = 2\,\mathrm{cis}\,\frac{\pi}{3} and z2=3 cis π6z_2 = 3\,\mathrm{cis}\,\frac{\pi}{6}, find z1z2z_1 z_2. [2 marks]

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