Trigonometry

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About Course

Course Description: This course is designed to introduce students to the fundamental concepts and principles of trigonometry, which is the study of relationships between angles and sides in triangles. Topics covered in this course will include trigonometric functions, trigonometric identities, the unit circle, inverse trigonometric functions, and applications of trigonometry.

Course Outline:

  1. Introduction to Trigonometry:
    • Basic concepts and definitions in trigonometry
    • Types of angles and triangles
    • Pythagorean theorem and its applications
  2. Trigonometric Functions:
    • Definition of trigonometric functions (sine, cosine, tangent, cotangent, secant, and cosecant)
    • Values of trigonometric functions for common angles
    • Graphs of trigonometric functions
    • Periodicity and amplitude of trigonometric functions
  3. Trigonometric Identities:
    • Basic trigonometric identities
    • Sum and difference formulas
    • Double angle formulas
    • Half angle formulas
    • Product to sum and sum to product formulas
  4. The Unit Circle:
    • Definition and properties of the unit circle
    • Using the unit circle to evaluate trigonometric functions
    • Graphing trigonometric functions using the unit circle
  5. Inverse Trigonometric Functions:
    • Definition and properties of inverse trigonometric functions
    • Evaluating inverse trigonometric functions
    • Applications of inverse trigonometric functions
  6. Applications of Trigonometry:
    • Solving right triangles
    • Law of Sines
    • Law of Cosines
    • Applications to real-world problems, such as navigation, physics, and engineering

Course Learning Objectives: Upon completion of this course, students will be able to:

  • Define basic concepts and terms in trigonometry, including angles, triangles, and trigonometric functions
  • Evaluate trigonometric functions for common angles
  • Apply trigonometric identities to simplify expressions and solve equations
  • Use the unit circle to graph trigonometric functions and evaluate trigonometric functions for any angle
  • Evaluate inverse trigonometric functions
  • Solve real-world problems using trigonometry, such as navigation, physics, and engineering

Recommended Textbook: Trigonometry by Ron Larson and Robert P. Hostetler

Assessment: The course will include quizzes, midterm exam, and final exam. Quizzes will be used to evaluate student progress throughout the course, while the midterm and final exams will assess students’ knowledge and understanding of the course content.

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What Will You Learn?

  • In this Trigonometry course, you will learn about the fundamental concepts and principles of trigonometry, including trigonometric functions, trigonometric identities, the unit circle, inverse trigonometric functions, and applications of trigonometry. You will learn how to evaluate trigonometric functions for common angles, use the unit circle to graph trigonometric functions, and apply trigonometric identities to simplify expressions and solve equations. You will also learn about inverse trigonometric functions and how to solve real-world problems using trigonometry, such as navigation, physics, and engineering. Upon completion of this course, you will have a solid understanding of the principles and applications of trigonometry, and be able to apply them to a variety of real-world problems.

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