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

### 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. .

• Language - recommended eligibility for English 1A
• Mathematics - recommended eligibility for Math 52

### Content

Course Lecture Content
1.  Rectangular coordinates, angles and circular/radian measure
2. Definitions of the six trigonometric functions according to the right triangle, the unit circle, and the rectangular coordinate system
3. Applications of the right triangle
4. Simplification of trigonometric expressions
5. Proofs of trigonometric identities
6. Graphs of trigonometric functions: period, amplitude, phase shift, asymptotes
7. Inverse trigonometric functions and their graphs
8. Trigonometric equations
9. Solving Triangles: Law of Sines and Law of Cosines
10. Polar coordinates and equations
11. DeMoivre’s Theorem and applications
12. Introduction to vectors

### Objectives

1. Identify special triangles and their related angle and side measures

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

3. Manipulate and simplify a trigonometric expression

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

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

6. Evaluate and graph inverse trigonometric functions

7. Prove trigonometric identities

8. Convert between polar and rectangular coordinates and equations

9. Graph polar equations

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

11. Represent a vector (a quantity with magnitude and direction) in the form <a,b> and ai+bj

### Student Learning Outcomes

1. 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
• Other
May include group work

Delivery Methods

### Assignments

Other Assignments

### Methods of Evaluation

• Exams
• Homework
• Quizzes
• Other
May include group work

### Course Materials

Textbooks:
1. McKeague. Trigonometry, 7th ed. Brooks/Cole, 2013, ISBN: 978-1111826857