MATH 1405 Trigonometry
This course explores the relationships between angles and side lengths of triangles, including trigonometric functions like sine, cosine, and tangent. A foundation in trigonometry helps prepare the student intending to enroll in Calculus I (MATH 2200). The student earning credit in MATH 1405 may not earn credit in MATH 1450 toward graduation. Prerequisite: Completion of MATH 1400 or test into MATH 1405 or higher. (3 lect.)
Major Topics
- Radian and degree measure
- Circular functions
- Laws of sines and cosines
- Right triangle trigonometry
- Trigonometric functions, graphs, and identities
- Trigonometric equations and applications
- Vectors
- Polar equations and graphs
- DeMoivre’s theorem
Outcomes
In order to successfully complete this course, the student will:
1. Calculate trigonometric functions and their inverses in degrees and radians.
2. Graph trigonometric functions including transformations and inverses.
3. Apply the laws of sines and cosines to oblique triangles.
4. Investigate the validity of trigonometric identities and equations through simplification and algebraic manipulation.
5. Examine polar and parametric equations and graphs.
6. Calculate operations on vectors and complex numbers in rectangular and trigonometric form.
7. Explore real-world applications of trigonometry.