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Exploring cos(x) = sin(x) – Texas Instruments TITANIUM TI-89 User Manual

Page 748

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Activities

748

Exploring cos(x) = sin(x)

Exploring cos(x) = sin(x)

Exploring cos(x) = sin(x)

Exploring cos(x) = sin(x)

This activity uses two methods to find where

cos(x) = sin(x)

for the values of

x

between 0

and 3p.

Method 1: Graph Plot

Method 1: Graph Plot

Method 1: Graph Plot

Method 1: Graph Plot

Perform the following steps to observe where the graphs of the functions

y1(x)=cos(x)

and

y2(x)=sin(x)

intersect.

4. Solve for the value of

x

that will cause the

inverse of the matrix to be invalid.

Enter:

solve(getDenom(

2 ±

[1,4] )=0,x)

Result:

x=

L

70/17

Note:

Use the cursor in the history area to

scroll the result.

1. In the

Y= Editor

, set

y1(x)=cos(x)

and

y2(x)=sin(x)

.

2. In the

Window Editor

, set

xmin=0

and

xmax=3

p.

3. Press

„ and select

A:ZoomFit

.