Category: 11 SL Homework

Try your best to complete the following questions for our next class. (Some of these will be more difficult than what we considered in class, so do your best to find answers on your own and we’ll look at the more difficult questions on Monday.)

Exercise 11A.2 questions 2ab, 4
Exercise 11A.3 questions 1, 2, 5, 6efg, 7

We’ve now finished the chapter on modelling with trigonometric functions, and the questions listed below will help you review this material. We’ll begin our next class with a discussion of the solutions, then we’ll begin looking at the next (and final) chapter on trigonometry.

Review Set 10A questions 3–6
Review Set 10B questions 2–5
Review Set 10C questions 3 and 6

Now that we’ve built our London Eye model, we can use the same technique (applying our knowledge of transformations) to model other situations that involve periodic behaviour (and to answer more general questions about transformations involving trigonometric functions).

Read the (brief) section at the top of page 242 about the “general” sine function, then get a good start on the following questions before our next class (tomorrow).

Exercise 10B.1 questions 3 and 4
Exercise 10C questions 4 and 5 (for more of a challenge, try question 1)
Exercise 10F question 1

Now that we’ve learned about the graphs of trigonometric functions, we can apply our understanding of transformations of functions to transform trigonometric functions (particularly sine and cosine) to model period behaviour, like the tides, temperature, etc.

Try to complete the following questions before our next lesson (I suggest leaving the horizontal stretch until the end).

The London Eye is 15 m off the ground, and has a diameter of 120 m. The London Eye completes one revolution every 30 minutes.

1. Develop a function to model the height of a passenger on the London Eye t minutes after boarding a capsule.

2. How far above ground would passengers in a capsule be after
   a. 10 minutes have passed?
   b. 25 minutes have passed?

Complete the following questions before tomorrow’s class.

Exercise 9B questions 1a, 2, 5, 9
Exercise 9D questions 1, 5, 6, 9, 13, 16

After solving the Ambiguous Case, you’re now ready to complete the following questions before our next class.

Exercise 9C.2 questions 1, 2c, 3, 5, 8 (8 is somewhat challenging)

Complete the following questions before our next class.

Exercise 9A questions 1b, 2, 3, 4, 10a, 11 (11 is challenging)
Exercise 9C.1 question 1

Complete the following questions before our next class.

Exercise 8D.1 questions 1, 3, 4, 5ac
Exercise 10B.1 question 1

Now that we’ve covered the unit circle definitions together, complete the following questions before next class.

Exercise 8C questions 1, 2, 3, and 4 (this was already assigned last week,  so make sure these are done for our next lesson)
Exercise 8E questions 1 and 2 (use the “new” definition \(\tan \theta =\frac{\sin \theta}{\cos \theta}\))

For years now you’ve been told that trigonometry is “all about triangles,” but now we’re going to make it “all about circles!”

Read through Section C of Chapter 8, then try the questions listed below. (We’ll be continuing with this material on Monday, but try to get as far as you can on your own before that class.)

Exercise 8C questions 1, 2, 3, and 4