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The software provides dynamic
visual animation tools with which one can Demonstrate, Explain,
Experience and Understand the
basic trigonometric functions and their properties. This is
demonstrated by the following
screenshots:
Screen 1 -
The sine function
Screen 2 - The cosine function
Screen 3 - The tan function
Screen 4 - The tan function
(extended range)
The user, a
teacher or a student, can perform a step by step animation, while
watching and exploring the meaning of the trigonometric functions
using unit-circles, in which an angle α can be represented
as the arc of a unit circle.
Simultaneously, the
animation dynamically transforms the unit-circle form
of the
function into its form as a function (y = sinα
or y = cosα or y = tanα),
where:
the angle α is
represented by the coordinate of the horizontal scale and the
functions value, y, by the coordinate of the vertical scale.
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The
software provides the user full control of the
animation.
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Data can be accumulated in the Data Table as well.
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The
animation can be activated for positive or negative values of
angles.
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The
scales can be adjusted using units of degrees, multiples of π or
radians.
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Secondary
units can also be addedl to the horizontal scale.
With the software, the teacher
can explain clearly and teach and the student can learn and
understand concepts,
principles, properties and characteristics of the basic
trigonometric functions.
The following
screenshots refer to the sine function, to the
cosine function and to the
tangent
function. Note that the animation of the tangent function is very different
from the others.
DO and SEE.
Understand and Remember.
Use in class, in computer lab and at home.
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