Course Description
Definitions of trigonometric functions are defined using the unit circle then extended to the solution of right triangles. Content includes radian measure, trigonometric functions and their inverses, identities, graphs, equations, triangles, the Laws of Cosines and Sines and applications of trig functions. Skills for success in more advanced courses are emphasized. Consequently, the student must have a strong working knowledge of algebra before entering the course. AAS: Mathematics elective.
Prerequisite(s)
Appropriate assessment score or MATH 1424 with a grade of C or better and completion of geometry requirement (MATH 1453 or one year of high school geometry with a grade of C or better) or High School Transitional Math: STEM pathway - Must be completed prior to taking this course.
At the end of this course, students will be able to:
- Evaluate the six trigonometric functions using a right triangle and unit circle.
- Graph trigonometric functions and identify the period, amplitude, phase shift, and location of asymptotes.
- Prove a trigonometric identity.
- Evaluate inverse trigonometric functions.
- Solve trigonometric equations.
- Apply the sum and difference, double angle, and half-angle identities.
- Solve any oblique triangle by applying the Law of Sines or Law of Cosines.
- Apply trigonometry concepts to solve application problems.
Topical Outline
1. Graphs of Equations in Two Variables
2. Circles
3. Functions and Their Graphs
4. Properties of Functions
5. Graphing Techniques
6. Transformations
7. One-to-One Functions
8. Inverses
9. Angles and Their Measure
10. Trigonometric Functions; A Unit Circle Approach
11. Properties of the Trigonometric Functions
12. Graphs of the Sine and Cosines Functions
13. Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
14. The Inverse Sine, Cosine, and Tangent Functions
15. The Inverse Trigonometric Functions (continued)
16. Trigonometric Equations
17. Trigonometric Identities
18. Sum and Difference Formulas
19. Double-angle and Half-angle Formulas
20. Product-to-Sum and Sum-to-Product Formulas
21. Right Triangle Trigonometry Applications
22. The Law of Sines
23. The Law of Cosines
24. Area of a Triangle
25. Polar Coordinates
26. Polar Equations and Graphs
27. The Complex Plane
28. De Moivre’s Theorem
2. Circles
3. Functions and Their Graphs
4. Properties of Functions
5. Graphing Techniques
6. Transformations
7. One-to-One Functions
8. Inverses
9. Angles and Their Measure
10. Trigonometric Functions; A Unit Circle Approach
11. Properties of the Trigonometric Functions
12. Graphs of the Sine and Cosines Functions
13. Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
14. The Inverse Sine, Cosine, and Tangent Functions
15. The Inverse Trigonometric Functions (continued)
16. Trigonometric Equations
17. Trigonometric Identities
18. Sum and Difference Formulas
19. Double-angle and Half-angle Formulas
20. Product-to-Sum and Sum-to-Product Formulas
21. Right Triangle Trigonometry Applications
22. The Law of Sines
23. The Law of Cosines
24. Area of a Triangle
25. Polar Coordinates
26. Polar Equations and Graphs
27. The Complex Plane
28. De Moivre’s Theorem