Trigonometry

Varada Vaughan, Feb 9, 2015

GGB files pertaining to Trig

Table of Contents

  1. Measuring Angles
    1. What is a Radian?
    2. Convert angles in degrees to radians
  2. The Unit Circle
    1. Coordinates of Points on the Unit Circle
    2. Unraveling the Circle
    3. Unwrapping the Unit Circle
    4. Practice Special Angles on Unit Circle (just angles)
    5. Practice Special Angles/Sine/Cosine on Unit Circle
  3. Transforming the Sine and Cosine Functions
    1. Location of a point on a circle
    2. Sine and Cosine Exploration-Transformations
    3. Period and Frequency
    4. Modeling Using The Sine Function
    5. Transforming the Sine Function
    6. Tidal Data
    7. Monthly Average Temperature Data
    8. Trig Transformations Practice
    9. Finding b and c
  4. The Other Trig Functions
    1. Six Basic Trig Functions in the Unit Circle
    2. The Six Trig Functions
    3. Graphs of reciprocal trig functions from basic functions
  5. Trig Identities
  6. Inverse Trig Functions
    1. Restricting Domains
    2. Visualising Inverse Functions!
    3. Trig Inverse Functions
    4. How Far Can You See?
  7. Law of Cosines
    1. Explore Law of Cosines
    2. Explore Law of Cosines - SSS
    3. Developing the Law of Cosines
  8. Law of Sines
    1. Law of Sines 1.1
    2. Ambiguous Case for the Law of Sines
  9. Extra Material
    1. Unit Circle
    2. Unit Circle
    3. Ferris Wheel Problem
    4. Sine and Cosine Exploration-Transformations
    5. Graph of the Sine Function
    6. Trig graphs from the unit circle
    7. Basic Trig graph- radians
    8. Transforming the Sine Function

1.

Measuring Angles

  • 1. What is a Radian?
  • 2. Convert angles in degrees to radians

1.1.

What is a Radian?

This is an applet illustrating what a radian is.[br]This wasn't made by me but by a math teacher colleague.
– samjshah2

1.2.

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2.

The Unit Circle

  • 1. Coordinates of Points on the Unit Circle
  • 2. Unraveling the Circle
  • 3. Unwrapping the Unit Circle
  • 4. Practice Special Angles on Unit Circle (just angles)
  • 5. Practice Special Angles/Sine/Cosine on Unit Circle

2.1.

Coordinates of Points on the Unit Circle

Use the slider to move point A on the circle.[br]Check the boxes to see how the coordinates of the point change as the point moves around the circle.[br]Click the Clear button to reset the screen.
– Varada Vaughan

2.2.

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2.5.

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3.

Transforming the Sine and Cosine Functions

  • 1. Location of a point on a circle
  • 2. Sine and Cosine Exploration-Transformations
  • 3. Period and Frequency
  • 4. Modeling Using The Sine Function
  • 5. Transforming the Sine Function
  • 6. Tidal Data
  • 7. Monthly Average Temperature Data
  • 8. Trig Transformations Practice
  • 9. Finding b and c

3.1.

Location of a point on a circle

This applet will trace the x-coordinate and the y-coordinate of the point B as it moves around the circle. [br]Use the sliders to change various aspects of the circle.[br]Use the check boxes to show the respective traces.
– Varada Vaughan

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3.8.

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4.

The Other Trig Functions

  • 1. Six Basic Trig Functions in the Unit Circle
  • 2. The Six Trig Functions
  • 3. Graphs of reciprocal trig functions from basic functions

4.1.

Six Basic Trig Functions in the Unit Circle

A quick look at the physical representations of the six basic trig functions in the unit circle
– Michael Andrejkovics

4.2.

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5.

Trig Identities


    This chapter does not contain any resources yet.

6.

Inverse Trig Functions

  • 1. Restricting Domains
  • 2. Visualising Inverse Functions!
  • 3. Trig Inverse Functions
  • 4. How Far Can You See?

6.1.

Restricting Domains

Restrict the domain of the function by using the sliders to create an inverse function.[br]Use f(x)= to change the original function in the input bar.
– Varada Vaughan

6.2.

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7.

Law of Cosines

  • 1. Explore Law of Cosines
  • 2. Explore Law of Cosines - SSS
  • 3. Developing the Law of Cosines

7.1.

Explore Law of Cosines

– Mark Fowler

7.2.

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7.3.

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8.

Law of Sines

  • 1. Law of Sines 1.1
  • 2. Ambiguous Case for the Law of Sines

8.1.

Law of Sines 1.1
– Sonia Grunwald

8.2.

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9.

Extra Material

  • 1. Unit Circle
  • 2. Unit Circle
  • 3. Ferris Wheel Problem
  • 4. Sine and Cosine Exploration-Transformations
  • 5. Graph of the Sine Function
  • 6. Trig graphs from the unit circle
  • 7. Basic Trig graph- radians
  • 8. Transforming the Sine Function

9.1.

Unit Circle

Drag the red point around the unit circle.
– user577

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