Trigonometry Simulation Page
(there is 1 simulation on this page)
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Unit Circle Trig Tour Simulation
(c) PhET Interactive Simulations
The simulation below will allow you to explore the relationship between the trigonometric functions (sine, cosine, and tangent) at a particular angle and the vertical and horiozontal projections (shadows) of a vector at that angle on the unit circle.
(c)
PhET Interactive Simulations
Suggested
Exercises and Observations:
1)Grab the red circle at the tip of the unit vector (the arrow inside the circle) and move it around to different angles. Notice that:
3) Switch the lower graph to display the cosine, sine, or tangent of the angle with the buttons in
the right-hand menu.
0, 30, 45, 60, 90, 120, 135 150, and 180 degrees (both positive and negative)
1)Grab the red circle at the tip of the unit vector (the arrow inside the circle) and move it around to different angles. Notice that:
- 0 degrees points horizontally to the right
- positive angles are counter-clockwise rotations
- negative angles are clockwise rotations
- Notice that a full circle is a rotation of 360 degrees or 2π radians.
3) Switch the lower graph to display the cosine, sine, or tangent of the angle with the buttons in
the right-hand menu.
- Notice that the sine of the angle is equal to the y-component (the height of the tip) of the unit vector at that angle.
- Notice that the cosine of
the angle is equal to the x-component
(horizontal position of the tip) of the unit vector at that
angle.
0, 30, 45, 60, 90, 120, 135 150, and 180 degrees (both positive and negative)
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External
Links to Original & Similar Simulations
(warning : these links will take you outside the UCSD webpage)
(warning : these links will take you outside the UCSD webpage)
last updated : 08/22/18