## 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.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 $$[0, 2\pi[$$.

1. 3 + 5i
2. –3 + 5i
3. 3 – 5i
4. 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

## 12 SL: The Binomial Distribution

Complete the following questions before our next class.

Exercise 23A questions 3ac and 4a
Exercise 23D.2 questions 1, 2a, 4a

## 12 SL: Conditional Probability

Complete the following questions before our next class.

Exercise 22I questions 1, 2, 3, 5, 9, 12
Exercise 22J questions 1, 4