Trig Explorer aplet
The Trig Explorer aplet is used to investigate the behaviour of the graph of y = a sin (bx + c) + d as the values of a, b, c and d change, both by manipulating the equation and seeing the change in the graph, or by manipulating the graph and seeing the change in the equation.
When the user presses 67$57a in the $3/(7a view, the screen shown right is displayed.
In this mode, the graph controls the equation. Pressing the *k,*e, and *>,*A, keys transforms the graph, with these transformations reflected in the equation.
The button labelled 25,*aa is a |
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toggle between 25,*aa and |
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(;75aa. When 25,*aa is |
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chosen, the ‘point of control’ is |
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at the origin (0,0) and the |
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*k,*e, and *>,*A, keys |
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control vertical and horizontal |
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transformations. When (;75aa |
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is chosen the ‘point of control’ is on the first extremum of the graph (i.e. for the sine graph at (π ⁄ 2,1) .
The arrow keys change the |
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amplitude and frequency of the |
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graph. This is most easily seen |
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by experimenting. |
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Pressing >6<0%@ displays the equation at the top of the screen. The equation is controls the graph. Pressing the *A, and *>, keys moves from parameter to parameter.
Pressing the *k, or *e, key changes the parameter’s values.
The default angle setting for this aplet is radians. The angle setting can be changed to degrees by pressing 5$'aa.
Getting started |