## 11 HL: Compound– and Double-Angle Identities

Complete the following questions before our next class.

Exercise 1D questions 3–6, 9, 11, 17ab, 18abd

Exercise 1E questions 3ab, 4cf, 6, 8, 10, 19a, 28a, 29a

## 12 SL: Antiderivatives

As I’m away on Monday, you’ll want to get a head start on antiderivatives, which are, in some sense, the opposite of derivatives. For example, if the derivative of $$x^2$$ is $$2x$$, then the antiderivative of $$2x$$ is $$x^2+c$$, where $$c$$ is the constant of integration.

Read Section 18B, 18D, and 18E.1 (paying particular attention to the examples), and complete the following questions.

Exercise 18B questions 1–3
Exercise 18D questions 1–9, 11, 12
Exercise 18E.1 questions 1–3

Aim to complete most, if not all, of these questions before our next class.

## 11 HL: The Compound Angle Identities + Other Trigonometric Identities

Read the relevant sections of the (green) textbook, then complete the following questions.

Exercise 1C.1 questions 1abf, 2abc, 3abc, 4a–e
Exercise 1C.2 questions 1adgj, 2, 3ab, 4a
Exercise 1C.3 questions 1adgk, 2abe, 3c, 4abc

## 11 HL: Reciprocal Functions and Trigonometric Identities

Complete the following questions (from the green book) before our next class.

Exercise 1A questions 1, 2, 3, 7acd, 8a
Exercise 1B questions 1abefi, 3, 4

## 11 HL: Trigonometric Models

Complete the following before our next class.

Exercise 17C questions 2, 3, 9bhi, 12cd
Exercise 17E question 2
Exercise 17F question 5
Exercise 17H question 4

## 11 HL: Transformations Review

Complete the following questions before our next class.

Exercise 16D questions 7, 8 (indicate the order), 10, 12

## 11 HL: Trigonometric Equations 3

Complete the following questions before our next class.

Exercise 17G.3 (blue book) questions 2a, 3a, 5a, 8b, 9c, 10b, 11b, 12b, and 13b.

## 11 HL: Trigonometric Equations 2

Complete the following questions for next class.

Exercise 8F (blue book) questions 2 and 3
Exercise 17G.2 (blue book) questions 1 and 2

## 11 HL: Solving Trigonometric Equations

Yesterday we discussed finding the general solution to a simple trigonometric equation. Try each of the questions below before our next class.

1. Explain how the image shown below illustrates one of the results we discussed in the last class.
Hint
Two points are shown on the circumference of the unit circle. Colour one red, and the other blue.
2. Find the general solution to the equation $$\cos \theta = \frac{1}{2}$$, expressing your answers as exact values.
3. Find the general solution to the equation $$2\sin^2\theta -5\sin \theta = -2$$.