Appendix
A-9: Graphing
Example A-9.1
Obtain the graph in Figure A-9.1(a), a graph of sinx as a black curve, and cosx as a red curve.
Impose 1-to-1 scaling on the axes, and ensure that the axes are labeled as x and y.
Label the horizontal axis in multiples of π/4 and the vertical axis with just three values (−1,0,1).
Figure A-9.1(a) Graph of sinx (black) and cosx (red)
Solution
Maple Solution - Interactive
Solution via Plot Builder
Write a sequence of the two given functions.
Context Panel: Plot Builder≻Edit (either button) Basic Options: Set x-range Global Options: View: axis[1] set x-range 2-D Options: Scaling = constrained
sinx,cosx→
Alternatively, launch the Plot Builder with sinx and cosx embedded by clicking . (The Preview and Options buttons will work, but no graph will be embedded in this worksheet.)
Figure A-9.1(b) Initial pane for the Interactive Plot Builder
Figure A-9.1(c) Edited range in the Plot Builder
Select 2-D trigonometric plot.
The default interval for trig functions is −2 π,2 π, which is easily edited to 0,π. See Figures A-9.1(b-c).
Click the Options button to access the plot options. To make changes that affect both curves, select "Global Defaults & Settings" in the drop-down box at the top-left of the Options panel. Add the Label "y" in the Range from/to line. Check the box for Constrained Scaling. See Figure A-9.1(d).
The horizontal axis is automatically labeled in multiples of π for trig functions. This can be adjusted as follows.
In the Axes section, select Advanced Settings and in the Advanced Axis Settings dialog, use the Tickmarks drop-down for x to select "spacing(Pi,0)" in which Pi can be changed to Pi/4. Change the Tickmarks from "default" to 3 for the other axis, and click the Apply button. See Figure A-9.1(e).
Figure A-9.1(d) Options panel after changes made
Figure A-9.1(e) Advanced Axis Settings panel
Clicking the Close button returns focus to the Options pane.
Change "Global Defaults & Settings" to an individual function to change the color of its graph.
Click the Preview button to see the state of the graph at any time.
Maple Solution - Coded
The following version of the plot command will draw the graph in Figure A-9.1(a).
plotsinx,cosx,x=0..π,color=black,red,scaling=constrained,tickmarks=spacingπ/4,0,3,labels=x,y
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