Chapter 4.3 – Trigonometry Extended: The Circular Functions

Objectives (click/tap to expand)

- Identify coterminal angles
- Calculate the six trigonometric functions of angles given a point on their terminal side
- State whether trigonometric functions are positive or negative
- Given an angle, find a point on its terminal side
- Evaluate trig functions without a calculator

Hypsometer activity

no video for Day #23

4-3 Trigonometry: Circular Functions

Watch before Day #24 lesson

Introduction to angles on the x-y plane. A bit longer than normal, but by doing your part you'll get most of the class time to do the assignment.

4-3 Trig Functions on the x-y Plane

Watch before Day #25 lesson

How to evaluate trig functions (sin, cos, tan, csc, sec, cot) for "special" angles in any quadrant of the x-y plane. This is the stuff of the "Unit Circle" test I always have students take on the first day of AP Calculus AB.

Assessment

no video for Day #26

4-3 Unit Circle Exercises

Watch before Day #27 lesson

How to determine an angle on the x-y plane without a calculator, given one trig function and the sign of another trig function.

Trig functions vs. Geometry definitions

Optional, from Day #27 class

In this Geogebra construction, see deeper connections between Trigonometry concepts and their Geometric counterparts. For example, see the relationship between the "tangent" of an angle and a line segment being "tangent" to a circle.

Unit Circle Practice

Also listed in the Resources section

GeoGebra version of Unit Circle Practicet tool, new in summer 2020 to replace the outdated Flash and HTML5 versions. Works on wide variety of computers/devices.

Practice questions/answers for Assessment Ch 4.1-4.3

A print of the questions will also be handed out in class. Both questions and answers are included in this PDF. REMEMBER, NO CALCULATORS!!! Twenty multiple choice questions/answers are provided in this practice. The actual assessment will consist of thirty multiple choice questions.

VIDEO SOLUTIONS: If you get stuck, the accompanying video has my explanations to all 20 practice questions. The links below are intended to allow you to skip to the question you're interested in viewing.

Questions 1-5

1. Skip to 0:26

2. Skip to 1:28

3. Skip to 2:50

4. Skip to 4:23

5. Skip to 5:33

Questions 6-10

6. Skip to 8:28

7. Skip to 11:09

8. Skip to 13:44

9. Skip to 16:08

10. Skip to 19:16

Questions 11-15

11. Skip to 21:15

12. Skip to 22:51

13. Skip to 24:47

14. Skip to 27:18

15. Skip to 29:13

Questions 16-20

16. Skip to 33:59

17. Skip to 36:24

18. Skip to 39:50

19. Skip to 44:20

20. Skip to 48:12

Go to next page, Chapter 4.4.

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