
20242025 College Catalog

MAT 189  Trigonometry [SUN# MAT 1187] 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods Continuation of MAT 151 . Collegelevel trigonometry. Includes trigonometric functions, angle measure, graphs, identities, equations, polar coordinates, and graphing device use. May also include parametric equations, vectors, and complex numbers.
Prerequisite(s): MAT 151 or required score on the mathematics assessment test. Recommendation: This course is intended as an intensive preparation for students who plan to continue with Calculus. Information: No more than 7 credits may be applied toward graduation from the following list of courses: MAT 151 , MAT 187 , MAT 188 , and MAT 189. A graphing device is required for this course and will be used extensively. GenEd: Meets AGEC  MATH; Meets CTE  M&S.
Course Learning Outcomes
 Solve various trigonometric equations and apply trigonometric identities.
 Evaluate, graph and analyze trigonometric functions.
 Solve real world applications.
Performance Objectives:
 Convert between radians and degrees measures.
 Define, graph, and evaluate the six trigonometric functions and their inverses.
 Solve trigonometric equations algebraically and graphically.
 Use trigonometric identities to simplify expressions and solve equations.
 Graph polar equations; convert between rectangular and polar coordinates.
 Use a graphing device to evaluate, graph, and analyze functions.
 Solve application problems.
Outline:
 Trigonometric Functions
 Angle measure
 Definition and graphs of the six trigonometric functions
 Numerical calculations and evaluation of functions
 Trigonometric Identities
 Basic, Pythagorean and Reciprocal
 Sum and difference formulas
 Double angle and half angle formulas
 Sum to product and product to sum (optional)
 Verification of identities
 Inverse trigonometric functions
 Trigonometric Equations
 Solve trig equations in radians and degrees
 Solve trig equations on a given interval and on the entire real number line
 Solve trig equations using tables, graphs, and analytically
 Solve trig equations that require the use of pythagorean identities
 Solve trig equations that are quadratic in form
 Solve trig equations that require the use of double angle identities
 Applications
 Solve right triangle application problems
 Solve nonright triangles using Law of Sines and Cosines
 Solve harmonic motion problems
 Graphing Trigonometric Functions
 Graph trig functions using a table and a graphing device
 Analyze shifts, transformations, and reflections of the graphs of trig functions
 Optional Topics
 Parametric equations
 Polar Equations
Effective Term: Fall 2023

