MATH 1803: Trigonometry

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Subject:
Mathematics
Credit hours: 3 Lecture hours: 3 Lab hours: 0
PCS code (Local ID):
Baccalaureate/Transfer
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Course Description

Definitions of trigonometric functions are defined using the unit circle then extended to the solution of right triangles. Content includes radian measure, trigonometric functions and their inverses, identities, graphs, equations, triangles, the Laws of Cosines and Sines and applications of trig functions. Skills for success in more advanced courses are emphasized. Consequently, the student must have a strong working knowledge of algebra before entering the course. AAS: Mathematics elective.

Prerequisite(s)

Appropriate assessment score or MATH 1424 with a grade of C or better and completion of geometry requirement (MATH 1453 or one year of high school geometry with a grade of C or better) or High School Transitional Math: STEM pathway

Prerequisite(s) or Corequisite(s)

Can be taken concurrently with MATH 1814

Topical Outline
  1. Graphs of Equations in Two Variables
  2. Circles
  3. Functions and Their Graphs
  4. Properties of Functions
  5. Graphing Techniques
  6. Transformations
  7. One-to-One Functions
  8. Inverses
  9. Angles and Their Measure
  10. Trigonometric Functions; A Unit Circle Approach
  11. Properties of the Trigonometric Functions
  12. Graphs of the Sine and Cosines Functions
  13. Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
  14. The Inverse Sine, Cosine, and Tangent Functions
  15. The Inverse Trigonometric Functions (continued)
  16. Trigonometric Equations
  17. Trigonometric Identities
  18. Sum and Difference Formulas
  19. Double-angle and Half-angle Formulas
  20. Product-to-Sum and Sum-to-Product Formula
  21. Right Triangle Trigonometry Applications
  22. The Law of Sines
  23. The Law of Cosines
  24. Area of a Triangle
  25. Polar Coordinates
  26. Polar Equations and Graphs
  27. The Complex Plane
  28. De Moivre’s Theorem

At the end of this course, students will be able to:

  • Evaluate the six trigonometric functions using a right triangle and unit circle.
  • Graph trigonometric functions and identify the period, amplitude, phase shift, and location of asymptotes.
  • Prove a trigonometric identity.
  • Evaluate inverse trigonometric functions.
  • Solve trigonometric equations.
  • Apply the sum and difference, double angle, and half-angle identities.
  • Solve any oblique triangle by applying the Law of Sines or Law of Cosines.
  • Apply trigonometry concepts to solve application problems.