2022HSCShort answer

Q11 (c) (i)

2 marks

Question

Write the complex number $-\sqrt3+i$ in exponential form.

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Solution

Criteria	Marks
Provides correct solution	2
Obtains correct modulus OR obtains correct argument	1

Sample answer:
$-\sqrt3+i=2e^{i5\pi/6}$

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Syllabus alignment

Complex Numbers

Other representations of complex numbersUse Euler's formula and convert between Cartesian, polar and exponential forms to solve problems.

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