HSC Extension Two Maths Complex Numbers Exam
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Important: These tests take time to write, if you’re in a position consider buying me a coffee so I can keep doing this in the long term.
After completing the test, consider the list below as a checklist of skills to be ready for your complex numbers exam, or even for the complex numbers questions in the HSC
Perform basic operations with complex numbers
Understand complex conjugates
Represent a complex number in the complex plane
Convert a complex number to polar and exponential forms
Understand the principal argument
Find powers of complex numbers using exponential form
Use De Moivre’s theorem to prove trigonometric identities
Solve quadratic equations with both real and complex coefficients
Solve polynomials with real coefficients by using complex conjugates
Represent complex numbers as vectors on the complex plane
Calculate the nth roots of a complex number and plot them on the complex plane
Identify subsets of the complex plane determined by relations