Course Outline / Syllabus for Class Under Mr. Edgardo R. Rilloraza

COURSE SYLLABUS
AY: 2007-2008, 2nd Semester

Course Title: PLANE TRIGONOMETRY
Course Code: Math_2
Pre-Requisite: Math_1
Credit: 3
Total Hours: 54 hours

Course Description:

This course focuses entirely on plane trigonometry. The six trigonometric functions which are defined in terms of ratios are used routinely in calculations made by surveyors and navigators. Trigonometric functions also have applications in the physical and life sciences.
Procedure using trigonometric tables and those using a calculator are included as needed to solve problems.
Triangle solution problems, trigonometric identities, and trigonometric equations require knowledge of elementary algebra.

Course Objectives:

At the end of the semester, the students should be able to:
1. define trigonometric functions
2. enumerate the application of trigonometry
3. evaluate trigonometric functions
4. graph trigonometric functions
5. solve equation involving trigonometric function
6. solve problems on the application of trigonometric functions to geometry

Course Outline:

I. INTRODUCTION
1.1 Definition
1.2 Plane Angles
a. vertex
b. initial
c. terminal
d. positive angle
e. negative angle
1.3 Measures of angles
a. degrees
b. radians/radian measure
1.4 Arc length
1.5 Area of a sector

II. TRIGONOMETRIC FUNCTIONS
2.1 Coordinate in a Plane

III. TRIGONOMETRIC FUNCTIONS OF AN ACUTE ANGLE
3.1 Trigonometric functions of an acute angle
3.2 Functions of complementary angles
3.3 Finding the other functions of an acute angle when one function is given
3.4 Angles with negative measures
3.5 Reduction Formulas
3.6 Functions of Special angles (30, 60, 90 degrees)
3.7 Applications of Special angles
3.8 Interpolation
3.9 Practical applications
a. angle of elevation
b. angle of depression
c. bearing

IV. SOLUTIONS OF OBLIQUE TRIANGLE
4.1 The four cases
4.2 Laws of Sines
4.3 Solution of Case I
4.4 Solution of Case II
4.5 Laws of Cosines
4.6 Solution of Case III
4.7 Solution of Case IV

V. GRAPHIC REPRESENTATIONS OF THE TRIGONOMETRIC FUNCTIONS
5.1 graphs of sin x and cos x
5.2 graphs of tan x, cot x, sec x, csc x

VI. TRIGONOMETRIC FORMULAS AND IDENTITIES
6.1 Fundamental Identities
6.2 Proving Trigonometric Identities

VII. Inverse Trigonometric Functions

VIII. Trigonometric Equations

Course Requirements:

a. Class Standing (60%): assignments, quizzes, problem sets, recitation/board works, seat works, attendance
b. Periodical Examinations (40%)

Textbook: Plane and Spherical Trigonometry by Paul Rider

References:
1. Schaum’s outline Series-Trigonometry
2. Algebra and Trigonometry with application
3. Holtmath 12
4. Modern Algebra and Trigonometry

Prepared by:

Mr. Edgardo R. Rilloraza
Instructor

Course Outline / Syllabus

Course Title: PLANE TRIGONOMETRY
Course Code: Math_2
Pre-Requisite: Math_1
Credit: 3
Total Hours: 54 hours

Course Description:

This course focuses entirely on plane trigonometry. The six trigonometric functions which are defined in terms of ratios are used routinely in calculations made by surveyors and navigators. Trigonometric functions also have applications in the physical and life sciences.
Procedure using trigonometric tables and those using a calculator are included as needed to solve problems.
Triangle solution problems, trigonometric identities, and trigonometric equations require knowledge of elementary algebra.

Course Objectives:

At the end of the semester, the students should be able to:
1. define trigonometric functions
2. enumerate the application of trigonometry
3. evaluate trigonometric functions
4. graph trigonometric functions
5. solve equation involving trigonometric function
6. solve problems on the application of trigonometric functions to geometry

Course Outline:

1. INTRODUCTION
1.1 Definition
1.2 Plane Angles
1.2.1 . vertex
1.2.2. initial
1.2.3. terminal
1.2.4. positive angle
1.2.5. negative angle
1.3 Measures of angles
1.3.1. degrees
1.3.2. radians/radian measure
1.4 Arc length
1.5 Area of a sector

2. TRIGONOMETRIC FUNCTIONS
2.1 Coordinate in a Plane

3. TRIGONOMETRIC FUNCTIONS OF AN ACUTE ANGLE
3.1 Trigonometric functions of an acute angle
3.2 Functions of complementary angles
3.3 Finding the other functions of an acute angle when one function is given
3.4 Angles with negative measures
3.5 Reduction Formulas
3.6 Functions of Special angles (30, 60, 90 degrees)
3.7 Applications of Special angles
3.8 Interpolation
3.9 Practical applications
3.9.1. angle of elevation
3.9.2. angle of depression
3.9.3. bearing

4. SOLUTIONS OF OBLIQUE TRIANGLE
4.1 The four cases
4.2 Laws of Sines
4.3 Solution of Case I
4.4 Solution of Case II
4.5 Laws of Cosines
4.6 Solution of Case III
4.7 Solution of Case IV

5. GRAPHIC REPRESENTATIONS OF THE TRIGONOMETRIC FUNCTIONS
5.1 graphs of sin x and cos x
5.2 graphs of tan x, cot x, sec x, csc x

6. TRIGONOMETRIC FORMULAS AND IDENTITIES
6.1 Fundamental Identities
6.2 Proving Trigonometric Identities

7. Inverse Trigonometric Functions

8. Trigonometric Equations

Course Requirements:

a. Class Standing (60%): assignments, quizzes, problem sets, recitation/board works, seat works, attendance
b. Periodical Examinations (40%)

Textbook: Plane and Spherical Trigonometry by Paul Rider

References:
1. Schaum’s outline Series-Trigonometry
2. Algebra and Trigonometry with application
3. Holtmath 12
4. Modern Algebra and Trigonometry

Prepared by:

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