MAC 1114 - TRIGONOMETRY
Catalog Description:
(3) (A.A.) Three hours lecture per week. Prerequisite: MAC 1105 or equivalent. This
course meets Area II requirements for both A.A. General Education Requirements
and A.S. General Education Requirements. Topics include the study of trigonometric
functions and applications, analytic trigonometry, vectors, trigonometric form of complex
numbers, parametric equations, polar coordinates and equations. This course, along with
MAC 1140, is a prerequisite for the Calculus sequence. Use of a graphing calculator is
integrated throughout this course.
Performance Standards:
Upon successful completion of this course the student will be able to:
1. Determine the measurements of angles in degrees and in radians.
2. Know the definitions of the six trigonometric functions with respect to right
triangle ratios.
3. Graph the six basic trigonometric functions, and be able to identify changes in
period, amplitude, and phase shift.
4. Solve application problems involving right triangles.
5. Use the inverse trigonometric functions and demonstrate knowledge of their
ranges.
6. Graph the inverse trigonometric functions (y = sin-1 x, y = cos –1 x, and y = tan –1
x).
7. Prove trigonometric identities.
8. Solve trigonometric equations.
9. Apply the Law of Sines and the Law of Cosines to find unknown angles and/or
side lengths of triangles, and to use this skill in application problems.
10. Use polar coordinates and graph polar equations.
11. Write complex numbers in polar form, compute multiplications, divisions, and
powers of complex numbers in polar form, and apply DeMoivre’s Theorem to
find complex roots.
12. Know and use basic properties of vectors.
Date of Last Revision: April 1, 2002