Transformations of the Trig Functions with Geogebra

This Geogebra file shows dynamically how the graphs of the sine, cosine and tangent functions change as the parameters in their equations are changed. Thanks to Greg Bland for sharing this very visual activity.

Geogebra is a powerful FREE dynamic geometry program. You can download it from
http://geogebra.org

Sine and Cosine Graphs

A highly effective interactive animation illustrating the sine and cosine graphs formed by rotating a point around the unit circle.
http://www.yenka.com/freecontent/item.action?quick=je#

Transformations of the Sine Curve

This interactive animation shows the effect of adding a constant to the function.
http://www.yenka.com/freecontent/item.action?quick=ji#

This interactive animation shows the effect of multiply the function by a constant a where a >= 0.
http://www.yenka.com/freecontent/item.action?quick=ot#

This interactive animation shows how altering b in the function
y = sin(bx) changes the frequency/wavelength.
http://www.yenka.com/freecontent/item.action?quick=ou#

The Unit Circle and the Tangent Function

This animation from Lou Talman shows how a point moving around the unit circle generates the tangent function.
http://clem.mscd.edu/~talmanl/HTML/TangentCurve.html

The Unit Circle and the Sine Curve

This animation from Lou Talman shows how the sine curve can be constructed from the definition of the sine function as the y-coordinate of a point on the unit circle.
http://clem.mscd.edu/~talmanl/HTML/SineCurve.html

The Unit Circle and the Graph of the Tangent Function

This animation from Lou Talman shows how a point moving around the unit circle generates the tangent function.
http://clem.mscd.edu/~talmanl/HTML/TangentCurve.html

The Unit Circle and the Graph of the Sine Function

This Quicktime animation from Lou Talman shows how the sine curve can be constructed from the definition of the sine function as the y-coordinate of a point on the unit circle.
http://clem.mscd.edu/~talmanl/HTML/SineCurve.html

Sine and Cosine Functions

A lovely Geogebra applet that graphically shows how the sine and cosine functions are generated from the unit circle. From The Lawrenceville School Mathematics Department Web Resources.
http://mathplotter.lawrenceville.org/mathplotter/mathPage/sine.htm

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