Complete the questions in the file linked here. The second file here is more challenging (in parts), but you should try that one as well! There’s a hint for question 3 below.
11 HL: De Moivre’s Theorem
Complete the following questions before our next class.
Exercise 14F questions 2ce, 3bde, 4, 6, 8, 11
11 HL: Euler’s Form
Complete the following questions before our next class.
Exercise 14D.3 questions 4, 5, 7
Exercise 14E questions 1, 2, 4ab, 6ab
11 HL: Working with Modulus-Argument Form
Complete the following questions before our next class.
Exercise 14B question 13ac
Exercise 14C question 3
Exercise 14D.1 4ade, 5, 7
Exercise 14D.2 1a–e, 3
Exercise 14D.3 1ab, 2ab
11 HL: Modulus-Argument Form
Complete the following questions before our next class.
Find the modulus-argument for of the following complex numbers. Restrict your arguments to the interval \([0, 2\pi[\).
- 3 + 5i
- –3 + 5i
- 3 – 5i
- Is \(z=-2 \textrm{cis} \left(\frac{\pi}{6}\right)\) a complex number? Explain why it is not correctly expressed in modulus-argument form, and find a correct expression for \(z\) in modulus argument form.
11 HL: The Complex Modulus
Complete the following before our next class (these are from the green book).
Exercise 14A questions 3ce, 8
Exercise 14B questions 1, 5abd, 6, 8, 9, 11, 15
11 HL: Applications of Trigonometry
Complete the following questions before our next class.
Exercise 9D (Blue Book) questions 1, 6, 9, 11a, 15, 21
12 SL: Expectation
Complete the following questions before our next class.
Exercise 23C questions 1, 7, 8, 10
Exercise 23D.2 questions 1bc, 2–4
11 HL: The Ambiguous Case
Complete the following questions before our next class.
Exercise 9C.2 Questions 1c, 2, 4, 6, 7
11 HL: The Cosine Rule
Complete the following questions before our next class.
Exercise 9B questions 1a, 2, 5, 9