2024-2025 Yavapai College Catalog 
    Jul 13, 2024  
2024-2025 Yavapai College Catalog

MAT 183 - Precalculus (Trigonometry)

Description: Topics from trigonometry essential to the study of calculus and analytic geometry.  Includes trigonometric functions, radian measure, right and oblique triangle solutions, trigonometric identities and equations, and inverse trigonometric functions. Note: Computer use and or graphing calculator required.

Prerequisites: MAT 097  or a satisfactory score on the mathematics skills assessment.

Credits: 2
Lecture: 2
Lab: 0

Course Content:
  1. Right triangle trigonometry
  2. Trigonometric functions on the unit circle
  3. Radian and degree measures for angles
  4. Graphs of trigonometric functions and their inverses
  5. Oblique triangles (Law of Sines/Cosines)
  6. Trigonometric equations
  7. Trigonometric identities (Basic, Pythagorean, Reciprocal, Compound, Double-Angle, Half-Angle, etc.)
  8. Inverse trigonometric functions
  9. Technology

Learning Outcomes:
  1. Use the unit circle to determine trigonometric functions and their graphs. (2-4) 
  2. Solve right triangles using trigonometric ratios. (1,3) 
  3. Solve oblique triangles using the law of sines and the law of cosines. (3,5) 
  4. Convert degree to radian measure and radian to degree measure. (3) 
  5. Apply trigonometric identities in a variety of situations (exact values, simplifying expressions, proving identities, etc.) (2,6,7) 
  6. Solve trigonometric equations involving both trig and inverse trig functions. (1-6, 8) 
  7. Apply mathematics in context. (1, 3-6,8)
  8. Model real situations using mathematics. (1,3-6,8)
  9. Utilize technology when appropriate (graphing functions, solving equations, applications of right and oblique triangles).  (1,4-6,8,9)