Complete the following questions for our next lesson.
Exercise 14H questions 9a, 11
Exercise 14I questions 8, 11ac
Exercise 14J questions 4, 12ab, 17, 18, 20
11 HL Vectors
Here is the (long) list of questions we were working on today. Try to have most of these completed before our lesson tomorrow (note that no additional questions were added to the list).
Exercise 14A.2 question 2
Exercise 14B.1 question 2
Exercise 14B.3 question 2
Exercise 14B.4 question 5
Exercise 14C questions 1e, 2c
Exercise 14D questions 2ab, 5
Exercise 14E questions 1ab, 4bc, 7abh, 9
Exercise 14F questions 1ab, 2, 3, 4, 7, 8
Exercise 14G questions 3, 6, 10, 11, 16
11 HL Trigonometry with Triangles Test
On Friday, December 8th we’ll have our test on trigonometry with triangles (Chapter 11). I recommend selecting questions from the end of chapter review sets, along with questions from the the end of Chapter 8 from the Pearson textbook.
11 HL Trigonometric Equations and Identities Test
On Friday, November 24th we’ll have a test on trigonometric equations and identities (this includes all of the material we’ve covered on trigonometry, but does not include the sine and cosine rules, which will come on the next test).
To prepare for this test, I suggest you look at the review sets in Chapters 10, 12, and 13, and also have a look at Chapter 7 in the Pearson textbook.
11 HL The Ambiguous Case
After having solved The Ambiguous Case, try the following questions tonight.
Exercise Set 11C.2, questions 1, 3, 5, and 9
11 HL The Sine Rule
Complete the following questions for next class.
Exercise 11A questions 2, 3, 7, 9, 10, 11
Exercise 11C.1 questions 1, 2
11 HL Trigonometric Identities and Equations Continued
Below is the list of questions we began in class today. Aim to finish up to the end of 13E before our lesson on Thursday.
Exercise 13A.2 questions 3cd
Exercise 13B question 5
Exercise 13C.2 questions 2h, 3c
Exercise 13D question 12
Exercise 13E questions 3ab, 5ab, 26, 27
Exercise 13F questions 3ac, 4ab
Exercise 13G question 5
11 HL Inverse Trigonometric Functions and Equations
Complete the following exercises before our next class (after the break).
Exercise Set 13A.3 questions 6bdij and 12
Also, have a look at the question below (which was discussed in class). It was mentioned in class that a solution can be found (to both parts!) without a calculator. Can you figure it out over the break?
\[\arctan\left(\frac{1}{2}\right)-\arctan\left(\frac{1}{3}\right) = \arctan(a), a \in \mathbb{Q}^+\]
- Find the value of \(a\).
- Hence, or otherwise, solve the equation \(\arcsin (x)=\arctan(a)\).
I’ll post a hint in the comments below [update: one error in that comment has been corrected, and the hint has been extended]—you may find it useful.
11 HL Modelling with Trigonometric Functions
In our last class we looked at how we could transform the sine and cosine functions to model periodic behaviour. The questions posted during class are listed below. Try to get through to the end of Section 12D, and we’ll continue with these questions during our next lesson.
Exercise 12C questions 1, 3
Exercise 12D questions 2–4
Exercise 12E question 1
Exercise 12F questions 1, 3, 5, 6def, 8
11 HL Trigonometry and the Unit Circle
Complete the following exercises before our next class (you may find 5a and 6a useful when answering the other parts of those questions, but if you can answer b, c, and d without doing part a, that’s fine too).
Exercise 10C questions 4, 5bcd, 6bcd, 7, 10c