Texas Instruments TITANIUM TI-89 User Manual

Page 749

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Activities

749

Method 2: Symbolic Manipulation

Method 2: Symbolic Manipulation

Method 2: Symbolic Manipulation

Method 2: Symbolic Manipulation

Perform the following steps to solve the equation

sin(x)=cos(x)

with respect to

x

.

4. Find the intersection point of the two

functions.

Note:

Press

‡ and select

5:Intersection

.

Respond to the screen prompts to select
the two curves, and the lower and upper
bounds for intersection

A

.

5. Note the

x

and

y

coordinates. (Repeat

steps 4 and 5 to find the other
intersections.)

1. On the Home screen, enter

solve(sin(x)=

cos(x),x)

.

The solution for

x

is where

@n1

is any

integer.

2. Using the

ceiling( )

and

floor( )

functions,

find the ceiling and floor values for the
intersection points as shown.

Note:

Move the cursor into the history

area to highlight the last answer. Press

¸ to copy the result of the general
solution.

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