Aug 10, 2022
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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.

Prerequisite: MTH 111  or equivalent course with a grade of C- or better, or placement test. MTH 097  is strongly recommended prior to taking MTH 112.
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.