What are you going to learn?

  • Apply various concepts of right triangle trigonometry.
  • Apply the concepts of trigonometry to any angle in the rectangular coordinate plane.
  • Construct and analyze the graphs of trigonometric functions and their inverses.
  • Verify trig identities and solve trig equations
  • Solve and find the area of oblique triangles.
  • Work with complex numbers in algebraic and trigonometric form.

Content

Chapter 1. Introduction

  • Angles and Triangles
  • Similar Triangles
  • Trigonometric Functions in Right Triangles
  • Solving Right Triangles

Chapter 2. Angles in The Plane

  • Trigonometric Functions of Angles in Te Plane
  • Trigonometric Functions of Non-Acute Angles
  • Basic Trigonometric Identities

Chapter 3. Radian Measure

  • Arcs
  • Linear peed and Angular Speed
  • Trigonometric Function in the Unit Circle

Chapter 4. Graphs of Trigonometric Functions

  • Sine an Cosine
  • Tangent and Cotangent
  • Secant and Cosecant

Chapter 5. Identities

  • Sum and Difference Identities
  • Double Angle Identities
  • Half Angle Identities
  • Corrective Actions
  • Product Sum and Sum to Product Identities

Chapter 6. Inverse Trigonometric Functions

  • Solving Equations with One Trigonometric Function
  • Solving Equations with Multiple Trigonometric Functions

Chapter 7. The Law of Sines

  • Solving Equations with One Trigonometric Function
  • Solving Equations with Multiple Trigonometric Functions

Chapter 8. The Law of Cosines

  • Solving Equations with One Trigonometric Function
  • Solving Equations with Multiple Trigonometric Functions

Chapter 9. Complex Numbers

  • Rectangular Form
  • Polar Form
  • Operations

Chapter 10. Vectors

  • Introduction
  • Operations with Vectors
  • The Dot Product
  • The Cross Product
  • Applications

Bibliography

  • Mckeague, Charles P. Trigonometry. Harcourt Brace College Publishers, 4th ed.
  • Ron Larson; Robert P. Hostetler (2006). Trigonometry. Cengage Learning.

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