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2022 Mathematics Extension 2 Q11 (a) (i) | HSC Atlas

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2022TrialShort answer

Q11 (a) (i)

2 marks

Question

Find $\frac{-1+i\sqrt3}{1+i}$ in Cartesian form.

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Solution

$\frac{1+i\sqrt3}{1+i}=\frac{(\sqrt3-1)+i(\sqrt3+1)}{2}$

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Compare this with your working, not only your final sentence.

Syllabus alignment

Complex Numbers

Arithmetic of complex numbersRepresent and calculate with complex numbers in Cartesian form, including conjugates, division, reciprocals and square roots.

Source

Girraween 2022 4U Trial PaperGirraweenQuestion paper page 6Guidance page 14View original source ↗

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