Trigonometry

Ben Dougherty, Oct 28, 2014

This is a series of trigonometric explorations designed to build a foundational understanding of the sine, cosine, and tangent functions.

Table of Contents

  1. Sine Function
    1. Transformations of a Sinusoid
    2. Amplitude and Period of Sine and Cosine
  2. Cosine Function
    1. cosine exploration vs2
  3. Sine and Cosine
    1. Organic Sine and Cosine
  4. Tangent
    1. Tangent transformations

1.

Sine Function

Activities to Understand Sine

  • 1. Transformations of a Sinusoid
  • 2. Amplitude and Period of Sine and Cosine

1.1.

Transformations of a Sinusoid

[size=150]Drag points A, B, and C to change the the graph of the sine function.[br]How does dragging point A change the equation?[br]How does dragging point B change the equation?[br]How does dragging point C change the equation?[br][/size]
– Steve Phelps

1.2.

–

2.

Cosine Function

Activities to Understand the Cosine Function

  • 1. cosine exploration vs2

2.1.

cosine exploration vs2

Use the sliders to explore the effects of a, b, c and d on the cosine curve: [math]y= a cos(b x + c ) + d[/math]
– ezka29

3.

Sine and Cosine

  • 1. Organic Sine and Cosine

3.1.

Organic Sine and Cosine

Drag points A and B around. How are the two equations alike? How are the two equations different? Drag point A to point B. What does this suggest about how sine and cosine are related?
– Steve Phelps

4.

Tangent

  • 1. Tangent transformations

4.1.

Tangent transformations

Tangent transformations
Tangent transformations
– Jeff Corn

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