HP 40gs HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 162
The Trig Explorer Teaching Aplet, Objectives, SIN vs. COS, SYMB vs. GRPH mode
UPC - 882780045217
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28 THE TRIG EXPLORER TEACHING APLET Rather than being a multi-purpose aplet like most of the others covered so far, this is a teaching aplet specialized to the single use of exploring the graphs of trigonometric functions. As such it does not have the normal SYMB, NUM and PLOT views, but only a single multi-purpose view. The SYMB and PLOT keys do have meanings but not the normal ones. Objectives Using the Trig Explorer aplet, the student will investigate the behavior of the graph of y = a sin(bx + c) + d as the values of a, b, c and d change. This can be done 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 student presses , they will see the main screen of the aplet, shown right. Like the Quadratic Explorer, this aplet has only one screen, rather than the usual PLOT, SYMB and NUM views. If the aplet has been used before then it may be necessary to press the screen key to go back to the opening view shown. SIN vs. COS The (or ) key can be used to toggle between the y = sin ( x) curve and the y = cos ( x) curve. The (or ) key can be used to toggle between radian measure and degree measure. The markings on the horizontal axis adjust accordingly (see right and below right). SYMB vs. GRPH mode The Trig Explorer aplet can be used in two modes: SYMB mode and PLOT mode - in this mode the equation controls the graph (press the SYMB key). - in this mode the graph controls the equation (press the PLOT key). Which mode is in operation is controlled by pressing the SYMB and the PLOT keys. The NUM key has no effect in this aplet and the aplet has no SETUP views. The ranges for the x and y axes are preset and cannot be changed. In both modes the original shape of the sine or cosine graph is left visible as a dotted line for comparison. 162