Trigonometry in 360 degree

Christine Ho, May 8, 2020

This book contains all teaching and learning resources on trigonometry in 360 degree

Table of Contents

  1. Definition of trigonometry
    1. angle of rotation
    2. Definition of trigonometry
  2. Graph of trigonometric function
    1. Graph of y = sinx
    2. Graph of y = cos x
  3. Trigonometric identities
    1. Trigonometric identities of 180 - x
    2. Trigonometric identities of 180 + x
    3. Trigonometric function of 360 - x
    4. Trigonometric identities for 90 - x
    5. Trigonometric identities of 90 + x
    6. Trigonometric identities of 270 - x
    7. Trigonometric identities of 270 + x

1.

Definition of trigonometry

  • 1. angle of rotation
  • 2. Definition of trigonometry

1.1.

angle of rotation

– Christine Ho

1.2.

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2.

Graph of trigonometric function

  • 1. Graph of y = sinx
  • 2. Graph of y = cos x

2.1.

Graph of y = sinx

– Christine Ho

2.2.

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3.

Trigonometric identities

  • 1. Trigonometric identities of 180 - x
  • 2. Trigonometric identities of 180 + x
  • 3. Trigonometric function of 360 - x
  • 4. Trigonometric identities for 90 - x
  • 5. Trigonometric identities of 90 + x
  • 6. Trigonometric identities of 270 - x
  • 7. Trigonometric identities of 270 + x

3.1.

Trigonometric identities of 180 - x

Instruction
Drag the black point marked 'A' to change the angle θ. Study how the point A' which is on the terminal side of 180o - θ change as θ change. We are going to study the relationship between trigonometric function of θ and 180o - θ.
What is the relationship between the coordinates of A and coordinates of A' in the graph trigonometric fucntion of θ and 180° - θ?
Which of the following is true?
Which of the following is true?
Which of the following is true?
– Christine Ho

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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Information