Properties of moduli and arguments (HSC SSCE Mathematics Extension 2): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What does the modulus of a complex number represent?
What does the modulus of a complex number represent?
Magnitude of the number
What is the principal argument range?
What is the principal argument range?
-π to π
How is a complex number expressed in polar form?
How is a complex number expressed in polar form?
r cis θ
What is the product of moduli property?
What is the product of moduli property?
|z1 z2| = |z1| |z2|
What does De Moivre's Theorem calculate?
What does De Moivre's Theorem calculate?
Powers of complex numbers
What is the conjugate of a complex number?
What is the conjugate of a complex number?
r cis(-θ)
What does the quotient of moduli property state?
What does the quotient of moduli property state?
|z1/z2| = |z1| / |z2|
What does an Argand diagram represent?
What does an Argand diagram represent?
Geometric interpretation
What is the reciprocal of a complex number?
What is the reciprocal of a complex number?
1/r cis(-θ)
What does the sum of arguments property state?
What does the sum of arguments property state?
arg(z1 z2) = arg(z1) + arg(z2)