6. Trigonometric Identities and Graphs

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Basics Of Trigonometric Functions

   Learn Practice

   This section introduces the fundamental trigonometric functions and their...

2. 1.1

   Definitions

   Learn Practice

   This section outlines key definitions and fundamental concepts associated...

3. 1.2

   Right-Angled Triangle Definitions

   Learn Practice

   This section introduces the fundamental definitions related to right-angled...

4. 2

   Trigonometric Ratios In The Unit Circle

   Learn Practice

   This section explores trigonometric ratios as defined by the unit circle,...

5. 2.1

   Unit Circle Properties

   Learn Practice

   The section explains the unit circle's importance in trigonometry, detailing...

6. 2.2

   Periodicity And Symmetry

   Learn Practice

   This section explores the periodic nature and symmetry of trigonometric...

7. 3

   Fundamental Trigonometric Identities

   Learn Practice

   Fundamental trigonometric identities are critical equations involving...

8. 3.1

   Pythagorean Identities

   Learn Practice

   The Pythagorean identities are fundamental equations in trigonometry that...

9. 3.2

   Reciprocal Identities

   Learn Practice

   Reciprocal identities relate the main trigonometric functions to their inverses.

10. 3.3

    Quotient Identities

    Learn Practice

    Quotient identities define the relationships between the tangent and...

11. 4

    Co-Function And Negative Angle Identities

    Learn Practice

    This section covers co-function identities and negative angle identities,...

12. 5

    Trigonometric Graphs

    Learn Practice

    This section covers the graphs of sine, cosine, and tangent functions,...

13. 5.1

    Graph Of Y = Sin(Θ)

    Learn Practice

    This section covers the key features and characteristics of the graph of the...

14. 5.2

    Graph Of Y = Cos(Θ)

    Learn Practice

    This section discusses the graphical representation of the cosine function,...

15. 5.3

    Graph Of Y = Tan(Θ)

    Learn Practice

    This section focuses on the characteristics and behavior of the graph of the...

16. 6

    Transformations Of Trigonometric Graphs

    Learn Practice

    This section covers how to analyze transformations of trigonometric graphs,...

17. 6.1

    General Transformation Form

    Learn Practice

    This section covers the general transformation form of trigonometric graphs,...

18. 6.2

    Examples Of Transformations

    Learn Practice

    This section delves into the transformations of trigonometric functions,...

19. 7

    Applications Of Trigonometric Graphs

    Learn Practice

    This section focuses on the real-world applications of trigonometric graphs...

20. 8

    Chapter Summary

    Learn Practice

    This chapter covers trigonometric identities and graphs, vital for...

21. 9

    Worked Examples

    Learn Practice

    This section provides worked examples that illustrate the application of...

22. 9.1

    Example 1: Prove The Identity

    Learn Practice
23. 9.2

    Example 2: Graph Transformation

    Learn Practice
24. 10

    Practice Problems

    Learn Practice

    This section presents practice problems to reinforce understanding of...