MATH 102PLANE AND SPHERICAL TRIGONOMETRY3/0 Lecture Units

Engr. Rene Gene R. Repique

Course Description

Course Description

Trigonometric functions; identities and equations; solutions of triangles; laws of sine and cosine; inverse trigonometric functions; trigonometric functions of spherical triangles;

Course Objective

Course Objective

After completing this course, the student must be able to: Define and measure angles; Define and determine the six trigonometric functions

of angles; Prove trigonometric equations and identities; Define and evaluate inverse trigonometric functions; Solve trigonometric equations; Solve problems involving right and oblique triangles;

and Evaluate the trigonometric functions of spherical

triangles,

Contents

Contents

1. Trigonometric Functions1.1. Angles and Measurement1.2. Trigonometric Functions of Angles1.3. Trigonometric Function Values1.4. The Sine and Cosine of Real Numbers1.5. Graphs of the Sine and Cosine and Other

Functions

Contents

2. Trigonometric identities2.1. The Eight Fundamental Identities2.2. Proving Trigonometric Identities2.3. Sum and Difference Identities2.4. Double-Measure and Half-Measure

Identities

3. Inverse Trigonometric Functions 4. Solution of Right Triangles MIDTERM EXAMINATION

Contents

5. Solutions of Oblique Triangles5.1. Law of Sine5.2. Law of Cosine

6. Trigonometric Equations7. Logarithms

7.1. Properties of Logarithms7.2. Laws of Logarithms7.3. Kinds of Logarithms

Contents

8. Spherical Trigonometry8.1. Trigonometric Functions of Spherical

Triangles8.2. Solution of Spherical Triangles

FINAL EXAMINATION

References

References

Ymas, Sergio, Plane and Spherical Trigonometry, Ymas Publishing House, 2009

Hart, William L., Plane and Spherical Trigonometry with Applications, National Bookstore, Inc., 2009

Rider, Paul R., Plane and Spherical Trigonometry, National Bookstore, Inc., Revised Edition 2009

Reyes, Edgardo A., Plane Trigonometry: Simplified and Integrated, National Bookstore, Inc., 2010

Evaluation Tools

Evaluation Tools

Assignment Seatwork Recitation/ Boardwork Quizzes Exams

Course Requirements

Course Requirements

QUIZZES/LONG EXAMS ATTENDANCE RECITATION/BOARDWORK ASSIGNMENT MAJOR EXAMS

Evaluation

Evaluation

MAJOR EXAMS CHAPTER

TESTS/QUIZZES CLASS

PARTICIPATION ATTENDANCE ___________

100%