1. Update! To everyone who was absent from class today: Earlier, I created the following notes for a lecture, but we decided not to teach anything new. Don’t worry about section 4.7; we will cover it next Wednesday. Instead we discussed registration for math classes next year. Please see Mr. Wahbeh for details. **Homework: Work on the review day assignment on your calendar (p. 439 in your textbook) for problems from sections 4.1 through 4.5.

2. 4.7 Inverse Trig Functions Notes for those who were absent February 15, 2013. You may also refer to Mr. Wahbeh’s notes online for more examples.

3. Announcements The test will be on Wednesday, February 27. Over the weekend, you should at least be able to do the first half of the homework assignment for Day 6 (up to #39). There will be a quiz covering 4.5 and 4.7 next Wednesday, February 20.

4. Inverse Trig Functions

5. Inverse Trig Functions, continued See pg. 414, 416, and 417 for a detailed explanation of the graphs of inverse trig functions. Since the graphs of sine, cosine, and tangent do not pass the horizontal test, we must restrict their domains in order to graph their inverse functions.

6. Range of Inverse Trig Functions One of the most important properties of the inverse trig functions to understand is range. The table below summarizes the range of each inverse trig function: Inverse Trig FunctionRange [-π/2, π/2]Quadrants I and IV [0, π]Quadrants I and II (-π/2, π/2)Quadrants I and IV

7. Example 1

8. Example 1, continued 2 x

9. Example 2

10. Example 3

11. Example 3, continued 1 1 x