Mathematics Specialised Level 4 Practice Questions - TASC Mathematics Specialised Level 4 (MTS415118) Exam

Which of the following represents the complex number \(z = 1 + i\) in polar form \(r \text{cis}(\theta)\)?

\(\text{cis}\left(\frac{\pi}{4}\right)\) \(2 \text{cis}\left(\frac{\pi}{4}\right)\) \(\sqrt{2} \text{cis}\left(\frac{\pi}{4}\right)\) \(\sqrt{2} \text{cis}\left(\frac{\pi}{2}\right)\)

Correct Answer:

\(\sqrt{2} \text{cis}\left(\frac{\pi}{4}\right)\)

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