Basic functions

Right-angled Triangle Sine & Cosine Theorem
(under development)

 
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.

  • The software provides the user full control of the animation.

  • Data can be accumulated in the Data Table as well.

  • The animation can be activated for positive or negative values of angles.

  • The scales can be adjusted using units of degrees, multiples of π or radians.

  • 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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Screen 1: The Sine function

The Sine function - screenshot

 

 

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Screen 2: The Cosine function

The Cosine function -screenshot Previous
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Screen 3: The Tangent function

The Tangent function Previous
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Screen 4: The Tangent function (extended range)

The Tangent function in extended range Previous
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Dalin Inc. Head Office: 49 Harav Kook St., Herzliya, 46342 Israel;  Phone:(972-9)-9562371, Fax:(972-9)-9514361  
USA Office: 350 W 55th St. #3i, New York, NY 10019;  Fax: (212)-582-5899
e-mail: dalin@mathematix.com

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Copyright © 2003 Dr. J. Dalin / Dalin Inc.