Animation of Successive Taylor’s Polynomials
This section contains three programs that manipulate graphics objects to display a sequence of Taylor’s polynomials for the sine function.
SINTP draws a sine curve, and saves the plot in a variable.
SETTS superimposes plots of successive Taylor’s polynomials on the sine curve plot from SINTP, and saves the resulting graphics objects in a list.
TSA uses the ANIMATE command to display in succession each graphics object from the list built in SETTS.
SINTP (Converting a Plot to a Graphics Object)
SINTP draws a sine curve, returns the plot to the stack as a graphics object, and stores that graphics object in a variable. Make sure your calculator is in Radians mode.
Techniques used in SINTP
Programmatic use of PLOT commands. SINTP uses PLOT commands to build and display a graphics object.
SINTP program listing |
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| 'SIN(X)' STEQ | Stores the expression for |
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| sin x in EQ. |
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| FUNCTION | Sets the plot type and x- |
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| DUP NEG XRNG | and |
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| ERASE DRAW | Erases PICT, then plots the |
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| expression. |
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| PICT RCL 'SINT' STO | Recalls the resultant |
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| graphics object and stores it |
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| in SINT. |
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| `OSINTP K | Stores the program in |
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| SINTP. | |
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Checksum: # 41184d |
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Bytes: | 94 |
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SINTP is demonstrated in the program TSA.
RPL Programming Examples