Trigonometry

Adam Antonio

Table of Contents

  1. Right Angled Trigonometry
    1. Investigating the Ratio of Sides
    2. sin, cos and tan in a right angled triangle
  2. The Unit Circle
    1. Sin, cos and tan on the unit circle (degrees)
    2. Angle relationships using the unit circle
    3. Exact Values on the Unit Circle (radians)
  3. Trigonometric Graphs
    1. Graphs of sin and cos

1.

Right Angled Trigonometry

  • 1. Investigating the Ratio of Sides
  • 2. sin, cos and tan in a right angled triangle

1.1.

Investigating the Ratio of Sides

Discover the relationships involved with ratio of sides in right angled triangles. Change the angle using the slider and the size of the triangle by moving the point left and right.
– Adam Antonio

1.2.

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2.

The Unit Circle

  • 1. Sin, cos and tan on the unit circle (degrees)
  • 2. Angle relationships using the unit circle
  • 3. Exact Values on the Unit Circle (radians)

2.1.

Sin, cos and tan on the unit circle (degrees)

A circle of radius 1 can be used to determine sin, cos and tan of a given angle by the position of a point on it's circumference that has been rotated about a given angle.

Use this applet to discover the relationships between angles in all 4 quadrants.
– Adam Antonio

2.2.

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2.3.

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3.

Trigonometric Graphs

  • 1. Graphs of sin and cos

3.1.

Graphs of sin and cos

Adjust the sliders to see the effect of [math]a[/math] and [math]b[/math] in the graphs of [math]a sin bx[/math] and [math]a cos bx[/math].
– Adam Antonio

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