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Understanding Trigonometric Functions: Basics and Graphs

This chapter explores the fundamental concepts of trigonometric functions, including the definitions of angles, the significance of the unit circle, and essential relationships among trigonometric functions. Key topics covered include terminal and initial sides of angles, coterminal angles, radian measurement, basic trigonometric identities, and graphs of sine, cosine, tangent, cosecant, and secant functions. The chapter also includes exercises for practice and illustrations to provide a visual understanding of the concepts, equipping readers with a comprehensive foundation in trigonometry.

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Understanding Trigonometric Functions: Basics and Graphs

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  1. Chapter 4 Trigonometric Functions

  2. Section 4.1, Figure 4.1,Terminal and Initial Side of an Angle

  3. Section 4.1, Figure 4.2,Standard Position of an Angle

  4. Section 4.1, Figure 4.3,Positive and Negative Angles

  5. Section 4.1, Figure 4.4,Coterminal Angles

  6. Section 4.1, Figure 4.5,Illustration of Arc Length

  7. Section 4.1,Definition of Radian

  8. Section 4.1, Figure 4.6,Illustration of Six Radian Lengths

  9. Section 4.1, Figure 4.7,Common Radian Angles

  10. Section 4.1, Figure 4.13,Common Degree Measures on the Unit Circle

  11. Section 4.2, Figure 4.21,Common Values on a Unit Circle

  12. Section 4.2, Figure 4.22,The Unit Circle

  13. Section 4.2, Figure 4.23,Unit Circle and Periodic Behavior

  14. Section 4.2,Exercises 69-70

  15. Section 4.3, Figure 4.24,Right Triangle

  16. Section 4.3,Right Triangle Definitions of Trigonometric Functions

  17. Section 4.3,Fundamental Trigonometric Identities

  18. Section 4.4, Figure 4.33,Signs of the Trigonometric Functions

  19. Section 4.4,Trigonometric Values of Common Angles

  20. Section 4.5, Figure 4.42,Graph of Sine Curve

  21. Section 4.5, Figure 4.43,Graph of Cosine Curve

  22. Section 4.5, Figure 4.44,Key Points in the Sine and Cosine Curves

  23. Section 4.6, Figure 4.55,Graph of Tangent Function

  24. Section 4.6, Figure 4.59,Graph of Cotangent Function

  25. Section 4.6, Figure 4.61,Graphs of Cosecant and Secant Functions

  26. Section 4.6, Figure 4.67,Graphs of Basic Trigonometric Functions

  27. Section 4.7, Figure 4.71,Graphs of Inverse Trigonometric Functions

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