QCEVault

Complex numbers — Question 12

Original QCE Vault practice · 6 marks

Q12 · Practice questionComplex familiar6 marks

QUESTION 12 (6 marks)

Let z=−3+33 iz=-3+3\sqrt3\,i.
a)
Express zz in the form rcis⁡θr\operatorname{cis}\theta, where 0≤θ<2π0\le\theta<2\pi.
[2 marks]
b)
Determine z4z^4 in Cartesian form.
[2 marks]
c)
Determine all solutions of w3=zw^3=z in polar form.
[2 marks]
Question linkSyllabus coverage

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