Question 1
What is the polar form r cis(theta) of the complex number z = -sqrt(3) + i?
Correct Answer:
2 cis(5pi/6)
Question 2
Given z1 = 3 cis(pi/4) and z2 = 2 cis(pi/3), what is the product z1 * z2 in polar form?
Correct Answer:
6 cis(7pi/12)
Question 3
Simplify the complex expression z = (2 + 3i) / (1 - 2i) into Cartesian form a + bi.
Correct Answer:
-0.8 + 1.4i
Question 4
Using de Moivre's theorem, evaluate (1 + i)^10.
Correct Answer:
32i
Question 5
Simplify the expression (cis(pi/3))^4 / (cis(pi/6))^2.
Correct Answer:
-1
Question 1
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About this Exam

Prepare with the WACE ATAR Mathematics Specialist Practice Questions - WACE Year 12 ATAR Mathematics Specialist (Western Australia) Exam practice quiz. This question bank includes 100 questions covering find, complex, cartesian, equation, and vector. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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WACE ATAR Mathematics Specialist Practice Questions - WACE Year 12 ATAR Mathematics Specialist (Western Australia) Exam

This practice set contains 100 questions from the matching question bank and focuses on find, complex, cartesian, equation, and vector. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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