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2023-2024 College Catalog [ARCHIVED CATALOG]

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): Within the last three years: MAT 151  with a grade of C or better, 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.

Button linking to AZ Transfer course equivalency guide    button image Prior Learning and link to PLA webpage

Course Learning Outcomes
  1. Solve various trigonometric equations and apply trigonometric identities.
  2. Evaluate, graph and analyze trigonometric functions.
  3. Solve real world applications.
Performance Objectives:
  1. Convert between radians and degrees measures.
  2. Define, graph, and evaluate the six trigonometric functions and their inverses.
  3. Solve trigonometric equations algebraically and graphically.
  4. Use trigonometric identities to simplify expressions and solve equations.
  5. Graph polar equations; convert between rectangular and polar coordinates.
  6. Use a graphing device to evaluate, graph, and analyze functions.
  7. Solve application problems.
Outline:
  1. Trigonometric Functions
    1. Angle measure
    2. Definition and graphs of the six trigonometric functions
    3. Numerical calculations and evaluation of functions
    4. Trigonometric Identities
      1. Basic, Pythagorean and Reciprocal
      2. Sum and difference formulas
      3. Double angle and half angle formulas
      4. Sum to product and product to sum (optional)
      5. Verification of identities
    5. Inverse trigonometric functions
  2. Trigonometric Equations
    1. Solve trig equations in radians and degrees
    2. Solve trig equations on a given interval and on the entire real number line
    3. Solve trig equations using tables, graphs, and analytically
    4. Solve trig equations that require the use of pythagorean identities
    5. Solve trig equations that are quadratic in form
    6. Solve trig equations that require the use of double angle identities
  3. Applications
    1. Solve right triangle application problems
    2. Solve non-right triangles using Law of Sines and Cosines
    3. Solve harmonic motion problems
  4. Graphing Trigonometric Functions
    1. Graph trig functions using a table and a graphing device
    2. Analyze shifts, transformations, and reflections of the graphs of trig functions
  5. Optional Topics
    1. Parametric equations
    2. Polar Equations

Effective Term:
Fall 2023