Vectors

The vectors questions for tomorrow’s lesson are included below. (Thanks to Damin for reminding me to post these!)

Get as far as you can with these; you’ll also have the first 10 or 15 minutes of tomorrow’s lesson to work on these before we discuss the solutions.

Complete pages 407–409 questions 1, 3, 6, 10, 12, 19, 20, 22

Trigonometry Test

We’ll have a test on trigonometry (the material covered in Chapters 7 and 8 in the textbook) on Monday, 18 April.

The following questions will be help you prepare.

Pages 346–349 questions 1, 4, 5, 6, 8, 9, 10, 13, 17–23

Pages 394–397 questions 1, 5–9, 11, 13, 14, 17

Operations with Taylor Series

From Chapter 30 of the Cambridge book, complete the following questions for Wednesday this week.

page 5 question 5,
page 11 questions 4 and 5,
page 14 question 2 a),
page 15 question 9,
page 19 question 8.

The Cosine Rule

A triangle is constructed with sides of length 8 cm, 10 cm, and 3 cm. What is the measure of the angle opposite the side measuring 3 cm?

See if you can answer this question before tomorrow’s lesson.

Trigonometry (with Triangles)

Complete the following questions for the start of our lesson tomorrow.

Pages 358–360 questions 27, 31, 38, 40

Pages 367–369 questions 2, 11 c, 14 b, 16 + one of 20, 21, 22, or 23

Inverse Trigonometric Functions

Complete the following questions (concerning both the recently discussed compound– and double-angle identities and the inverse trigonometric functions) for the beginning of our lesson on Monday.

If you get stuck with any of these, see if you can find a similar example in the textbook (of course, yo can also post your questions here as usual).

Pages 333–335 questions 1, 4, 7, 9, 13

Pages 344–345 questions 3, 6, 9, 10, 13, 17, 21, 28, 34, 39 a)

Fun with Comparison Tests

Your challenge tonight is to come up with a series that can be shown to converge using (either version of) the comparison test. We’ll vote on the best example tomorrow. Here’s my entry.

\[\sum_{n=1}^\infty \frac{1}{2^n-n^2}\]