Oct 17, 2021
2021-2022 Lane Community College Catalog
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# MTH 112 - Trigonometry

5 Credit(s)

Trigonometry has wide applications in the world around us. It is a vital tool in construction, physics, and engineering. Trigonometry is preparatory for Calculus 1 (Differential Calculus, MTH 251). The major topics covered include radian measure, circular functions and their graphs, right triangle ratios and related trigonometric functions, identities, solving trigonometric equations, law of sines, law of cosines, and applications. Other topics include polar coordinates, parametric equations, vectors, and conic sections. MTH 097 is strongly recommended.

Prerequisite: MTH 111  completed with a grade of "C-" or better within the past two years or placement by the College's Math Placement Process.
Learning Outcomes
Upon successful completion of this course, the student should be able to:

1. Use geometry, algebra, and graphing calculator skills from previous courses
2. Move easily between degree and radian measure
3. Identify and use the six trigonometric functions in right triangle applications
4. Identify features of and use of the six circular functions
5. Graph the six circular functions and related transformations and extract features from their equations and graphs
6. Recall and apply the basic trigonometric identities
7. Use the sum, difference, double-angle, and half-angle identities
8. Identify features of and use the three major inverse trigonometric functions
9. Solve trigonometric equations analytically and with graphing technology
10. Apply the Law of Sines and Law of Cosines where appropriate
11. Use polar coordinates and polar equations and transform them to rectangular form and back
12. Use complex numbers in standard form and in polar form (time permitting)
13. Solve problems using vector notation
14. Use parametric equations
15. Work with the definitions, equations, and graphs of conic sections
16. Apply geometric and trigonometric relationships to applied problems
17. Use a graphing calculator to graph equations and explore concepts for equations in rectangular, parametric, or polar form