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
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?
Logarithms Test
We’ll have a test on logarithms on Thursday, February 25th.
The following questions will be useful for revision, and we can discuss any difficulties with these in class on Wednesday.
Page 243–245 questions 2, 4, 7, 8, 14, 16–19, 21–25
Logarithms
Complete the following question for tomorrow’s lesson.
If you can earn 5% interest compounded quarterly, how long will it take for your investment to double in value? Find an exact expression for your answer, with time measured in years.
[Note that \(\ln 2\) is an exact expression, and may appear in a correct solution to this question.]Logarithms Homework
Complete the following questions for our next lesson. These are all relatively short, so you should be able to complete all questions for our lesson on Monday.
Pages 232–233 questions 3, 5, 12, 15, 18, 20, 21, 26, 31, 33, 44, 47, 48, 54, 56, 57, 60, 61, 63, 67, 69, 71, 72–77, 79, 80, 84
Induction and the Binomial Theorem Test
We’ll have a test on mathematical induction and the Binomial Theorem on Monday, February 8th.
To prepare for the test, complete p. 203–205 questions 20, 22, 24, 28, 26, 45, 47
We will discuss these questions in Thursday’s lesson.