Complete the questions on this document before the beginning of class on Monday, April 11th.
For this assignment, you should submit your work assignment electronically as a PDF file.
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)
Compound– and Double-Angle Identities
Complete the following questions for our lesson tomorrow.
p.333–335 35, 38, 46
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.
\[\sum_{n=1}^\infty \frac{1}{2^n-n^2}\]
Trigonometric Identities
Use the definitions of the reciprocal trigonometric functions (along with the Pythagorean theorem) to establish the identities given in the questions below.
Page 334–335 questions 34, 39, 40
Models with Trigonometric Functions
Here’s the question we considered in today’s lesson. See how far you can get on this question tonight, and we’ll continue our discussion tomorrow.
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.
- Develop a function to model the height of a passenger on the London Eye t minutes after boarding a capsule.
- How far above ground would passengers in a capsule be after
a. 10 minutes have passed?
b. 25 minutes have passed?
Calculus (Option Topics) Test 1 [Updated]
We’ll have our first test on the Calculus Option topics on Sunday, March 6th.
This test will cover material that includes differential equations, important theorems and definitions in Calculus (Rolle’s Theorem, the Mean Value Theorem, continuity and differentiability, etc.), and l’Hôpital’s Rule.
Update: The following questions will be useful.
page 1471–1474 questions 1, 4, 10, 16, 19, 22–27
page 1436 questions 9, 17
page 1354 questions 4, 6, 14, 15
Euler’s Method Homework Assignment
Complete the questions on this PDF file for the beginning of class on Wednesday, March 2nd.