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Preview of polar graphing – Texas Instruments PLUS TI-89 User Manual

Page 151

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134 Chapter 8: Polar Graphing

08POLAR.DOC TI-89/TI-92 Plus: Polar Graphing (English) Susan Gullord Revised: 02/23/01 10:57 AM Printed: 02/23/01 2:14 PM Page 134 of 6

Steps

³

TI-89

Keystrokes

TI-92 Plus

Keystrokes

Display

1. Display

the

MODE

dialog box.

For

Graph

mode, select

POLAR

.

For

Angle

mode, select

RADIAN

.

3
B 3
D D D B 1
¸

3
B 3
D D D B 1
¸

2. Display and clear the Y= Editor.

Then define the polar equation

r1(

q

) = A sin B

q

.

Enter 8 and 2.5 for A and B,
respectively.

¥ #
ƒ 8 ¸
¸
8 2 W 2 . 5
¥ Ï d ¸

¥ #
ƒ 8 ¸
¸
8 W 2 . 5 Ï
d ¸

3. Select

the

ZoomStd

viewing

window, which graphs the
equation.

The graph shows only five rose
petals.

In the standard viewing window,
the Window variable

q

max = 2

p

.

The remaining petals have

q

values greater than 2

p

.

The rose does not appear
symmetrical.

Both the x and y axes range from

ì

10 to 10. However, this range is

spread over a longer distance
along the x axis than the y axis.

„ 6

„ 6

4. Display the Window Editor, and

change

q

max

to 4

p.

4

p

will be evaluated to a number

when you leave the Window Editor.

¥ $
D
4 2 T

¥ $
D
4 2 T

5. Select

ZoomSqr

, which regraphs

the equation.

ZoomSqr increases the range along
the x axis so that the graph is shown
in correct proportion.

„ 5

„ 5

6. You can change values for

A

and

B

as necessary and regraph the

equation.

Preview of Polar Graphing

The graph of the polar equation A sin B

q

forms the shape of a rose. Graph the rose for

A=8 and B=2.5. Then explore the appearance of the rose for other values of A and B.

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