Category: 11 HL Homework

Complete the following questions on lines in 3D (some of which involve the Cartesian equation of a line in 3D) before our next class.

Exercise 15C questions 5bcd, 6d, 7abc, 8, 10

Complete the following questions before tomorrow’s lesson.

Exercise 15C questions 1–4

Complete the following questions before our next class.

Exercise 15A questions 2, 4, and 5

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

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).

After having solved The Ambiguous Case, try the following questions tonight.

Exercise Set 11C.2, questions 1, 3, 5, and 9

Complete the following questions for next class.

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

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?

\[\arctan\left(\frac{1}{2}\right)-\arctan\left(\frac{1}{3}\right) = \arctan(a), a \in \mathbb{Q}^+\]

1. Find the value of \(a\).
2. 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.

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.