! " In the GRAPH Mode, follow these steps to graph a unit circle: a. [SHIFT] [MENU] (SET UP) and set the eighth line to Deg. b. On the Y= screen, press [F3] (TYPE) [F3] (Parm). c. Enter the equations Xt1 = cos T and Yt1 = sin T. d. Set the View Window to Xmin = -3.15 Xmax = 3.15 Xscale = 1 Ymin = -1.55 Ymax = 1.55 Yscale = 1 Tmin = 0 Tmax = 900 Tpitch = 15 e. Display the graph. Now you can press [SHIFT] [F1] to find the coordinates of points on the circle. ! # "$ # In Radian mode, the calculator treats the input of a sine, cosine, or tangent function as a radian measure instead of a degree measure. It also returns a radian measure when you use the inverse functions. In the RUN Menu, to put the calculator in Radian mode, press [SHIFT] [MENU] (SET UP) and set the fifth line to Rad. Overriding Radian or Degree Mode In Radian mode, enter a degree symbol, °, after the input if you want the calculator to override the Radian mode and treat the input as a degree measure. To find the degree symbol, as well as other angle options we will use, press [OPTN] [F6] [F5] (ANGL). Until you press [EXIT], these angle options will remain on the screen. 56 Discovering Advanced Algebra Calculator Notes for the Casio 9750G PLUS/9850GB PLUS 2004 Key Curriculum Press CHAPTER 10 r In Degree mode, enter a radian symbol, , after the input if you want the calculator to override the Degree mode and treat the input as a radian measure. "% "& ' " # " "# ( & You can use the override feature to convert an angle measure from radians to degrees or from degrees to radians. For example, follow these steps to convert 30° to radians: a. Set the calculator to Radian mode. b. In the RUN Mode, enter 30°. 30° is equivalent to .5235987756 radians. For another example, follow these steps to convert 7π/12 radians to degrees: a. Set the calculator to Degree mode. r r b. In the RUN Mode, enter (7π/12) . So (7π/12) is equivalent to 105°. ! ") " ) "# "& " The calculator does not have built-in secant, cosecant, or cotangent functions. You must calculate these functions by using the appropriate reciprocal identities. For example, in Radian mode, To evaluate sec (π/6): To evaluate csc (π/6): To evaluate cot (π/6): Discovering Advanced Algebra Calculator Notes for the Casio 9750G PLUS/9850GB PLUS 2004 Key Curriculum Press CHAPTER 10 57 To find the inverse of a secant, cosecant, or cotangent function, use the reciprocal identity’s inverse with the reciprocal of the input. –1 –1 –1 For example, in radian mode, to find sec (3), csc (3), cot (3), (! "& "# * + " ,( With a link cable, connect the EA-100 to the calculator. Be sure to push in each plug firmly. Choose the PRGM icon from the Main Menu. Highlight the program SOUND. Press [F1] (EXE). If the SOUND program is not listed, you will need to load the program provided at http://www.keymath.com/DAA/calculator_programs.html. Ring a tuning fork press [TRIGGER] on the EA-100. The program only collects data for .02 seconds and displays the graphs. Press [EXE] to view the repeat options. If the graph does not look like a sinusoidal curve, repeat data collection. When you have good data, time data will be stored in List 1, and frequency data will be stored in List 2. ! #" Graphing Polar Equations Follow these steps to graph a polar equation: a. In the GRAPH Mode, press [SHIFT] [MENU] (SET UP) and set the eighth line to Deg. Press [EXIT]. b. While the Graph Function Menu is on the display, press [F3] (TYPE) [F2] (r =) to specify a polar coordinate expression. c. Enter the expression using [x,θ, T] for the variable θ. d. Press [SHIFT] [F3] (V-Window) and set an appropriate window. One is shown below. e. Press [EXIT] and then draw the graph. 58 Discovering Advanced Algebra Calculator Notes for the Casio 9750G PLUS/9850GB PLUS 2004 Key Curriculum Press CHAPTER 10 Tracing Polar Coordinates You can find the coordinates of points on a polar graph by pressing [SHIFT] [F1] while the graph is displayed. The coordinates displayed for a polar coordinate graph are (r,θ). Use the [ ] and [ ] keys to trace the graph. Discovering Advanced Algebra Calculator Notes for the Casio 9750G PLUS/9850GB PLUS 2004 Key Curriculum Press CHAPTER 10 59