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

 

 

 

 

 

 

 

Program:

Comments:

 

 

 

 

 

 

«

 

 

 

'SIN(X)' STEQ

Stores the expression for

 

 

 

sin x in EQ.

 

 

FUNCTION '-2*π' →NUM

Sets the plot type and x-

 

 

DUP NEG XRNG

and y-axis display ranges.

 

 

-2 2 YRNG

 

 

 

ERASE DRAW

Erases PICT, then plots the

 

 

 

expression.

 

 

PICT RCL 'SINT' STO

Recalls the resultant

 

 

 

graphics object and stores it

 

 

 

in SINT.

 

 

»

 

 

 

 

 

 

 

`OSINTP K

Stores the program in

 

 

SINTP.

 

 

 

 

 

 

Checksum: # 41184d

 

Bytes:

94

 

 

SINTP is demonstrated in the program TSA.

RPL Programming Examples 2-31