Yuba Community College District
Yuba College Course Outline
Course Information
Course Number:
MATH 21
Full Course Title:
Plane Trigonometry
Short Title:
Plane Trig
TOP Code:
1701.00  Mathematics, General
Effective Term:
Spring 2015
Course Standards
Course Type:
Credit  Degree Applicable
Units: 3.0
Total class hours: 162.0
Total contact hours in class: 54.0
Lecture hours: 54.0
Hours outside of class: 108.0
Repeatable:
No
Grading Method:
Letter Grade Only
Minimum Qualifications for Instructors
 Mathematics (Masters Required)
Course Description
The study of trigonometric functions, their inverses and their graphs, identities and proofs related to trigonometric expressions, trigonometric equations, solving right triangles, solving triangles using the Law of Cosines and the Law of Sines, polar coordinates, and introduction to vectors.Conditions of Enrollment
Satisfactory completion of: MATH 52 or MATH 52B or (Placement Exam Score)a satisfactory score on the mathematics placement test.
.
Advisories

Language  recommended eligibility for English 1A

Mathematics  recommended eligibility for Math 52
Content
Course Lecture Content
 Rectangular coordinates, angles and circular/radian measure
 Definitions of the six trigonometric functions according to the right triangle, the unit circle, and the rectangular coordinate system
 Applications of the right triangle
 Simplification of trigonometric expressions
 Proofs of trigonometric identities
 Graphs of trigonometric functions: period, amplitude, phase shift, asymptotes
 Inverse trigonometric functions and their graphs
 Trigonometric equations
 Solving Triangles: Law of Sines and Law of Cosines
 Polar coordinates and equations
 DeMoivre’s Theorem and applications
 Introduction to vectors
Objectives

Identify special triangles and their related angle and side measures

Evaluate the trigonometric function of an angle in degree and radian measure

Manipulate and simplify a trigonometric expression

Solve trigonometric equations, triangles, and applications
**Requires Critical Thinking**

Graph the basic trigonometric functions and apply changes in period, phase and amplitude to generate new graphs

Evaluate and graph inverse trigonometric functions

Prove trigonometric identities

Convert between polar and rectangular coordinates and equations

Graph polar equations

Calculate powers and roots of complex numbers using DeMoivre’s Theorem

Represent a vector (a quantity with magnitude and direction) in the form <a,b> and ai+bj
Student Learning Outcomes
 Computation – Demonstrate understanding (both analytically and graphically) of the six trigonometric functions and apply these concepts as problem solving tools.
Methods of Instruction

Lecture/Discussion

OtherMay include group work
Distance Education
Delivery Methods
 Broadcast Education
Assignments
Reading Assignments
Other Assignments
Methods of Evaluation
 Exams
 Homework
 Quizzes

OtherMay include group work
Course Materials
Textbooks:

McKeague. Trigonometry, 7th ed. Brooks/Cole, 2013, ISBN: 9781111826857