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Oct 04, 2024
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2024-2025 College Catalog
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MAT 189 - Trigonometry [SUN# MAT 1187] 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods Continuation of MAT 151 . College-level 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. Gen-Ed: 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 non-right 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
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