Category: 11 HL Homework

Yesterday we discussed finding the general solution to a simple trigonometric equation. Try each of the questions below before our next class.

1. Explain how the image shown below illustrates one of the results we discussed in the last class.
   
   Hint

   Two points are shown on the circumference of the unit circle. Colour one red, and the other blue.
2. Find the general solution to the equation \(\cos \theta = \frac{1}{2}\), expressing your answers as exact values.
3. Find the general solution to the equation \(2\sin^2\theta -5\sin \theta = -2\).

Complete the following questions before our next class.

Exercise 8E questions 1–5 (in the blue textbook)

Complete the following questions before our next class.

Exercise 8D questions 5abcdgik, 6abde, 7ac, 8a, 9ef

Complete the following questions before our next class.

Exercise 8C questions 3, 4, 5bcd, 6, 7, 10, 12bdf

Tomorrow we have our test, but before our next class (on Tuesday next week) complete the following questions (out of the blue book).

Exercise 8A 1abcdghim, 2abc, 3abcdfgh, 4abc
Exercise 8B 1, 5, 7, 8, 9, 10, 13

Complete the following questions before our next class.

Exercise 11B questions 2 and 4
Exercise 11C questions 2, 3a, 4

Complete the following questions before our next class.

Exercise 11A questions 1–5

Complete the following questions before our next class.

Exercise 10B questions 2b, 3c, 5, 8b, 10a, 13b, 17a

Your task here is to create a digital document (using Google Docs, Word, etc.) in which you answer the two questions in the document linked here. (Since we’ve only just started proof by induction, you can treat question 2 as a bonus question.)

This will be due at the start of our next class (Tuesday, November 19th).

You may find the linked Proof by Induction Template helpful.

Complete the following questions before our next class.

Exercise 9G questions 1 and 2
Exercise 9H questions 1, 3, and 4