Trigonometry includes the study of circular functions and their graphs, working with the right triangle, working with the unit circle, inverse circulat functions, identities, conditional equations, the Law of Sines, the Law of Cosines, and other topics as time permits.
1. Understand raidan definition and measurement
2. Be able to do calculations using the six circular functions as real-valued functions.
3. Understand the basic definitions of trigonometric functions using both the right triangle and the unit circle.
4. Be able to analyze the six trigonometric functions and their graphs with transformations using concepts of periods, phase shift, amplitude, and displacement.
5. Be able to calculate solutions to triangles of all types, using definition of trigonometric functions, Laws of Sine & Law of Cosines.
6. Know trigonometric function values for special angles.
7. Be able to solve trigonometric identities
8. Define, graph, and analyze inverse trigonometric functions.
9. Be able to solve word problems involving trigonometric functions of all types, including but not limited to vectors
10. Be able to solve conditional trigonometric equations
11. Be able to use the trigonometric angle identities including double angle, half angle, angle sum, and angle difference identities
12. Be able to use critical thinking skills to analyze trigonometric functions
13. Learn how to use trigonometry resources available on the internet
14. Be able to demonstrate satisfactory writing skills in essay-style questions on examinations and/ or quizzes or on written journals in response to questions about course content
Chapter 1: Right Triangle Ratios
Chapter 2: Trigonometric Functions
Chapter 3: Graphing Trigonometric Functions
Chapter 4: Trigonometric Identities
Chapter 5: Trigonometric Equations & Inequalties, Inverse Trig Functions
Chapter 6: Triangles and Vectors
Chapter 7: Polar Coordinates & Complex Numbers