Finding the Intersection of Graphs for Homework Equation

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Homework Help Overview

The discussion revolves around finding the intersection of two graphs defined by the equation 1 = |(sin(x) - x) / sin(x)| * 100. Participants are exploring graphical methods to identify the intersection points and questioning the validity of their findings.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss graphical methods for finding intersections, with one individual noting a specific intersection point at approximately x = 0.244 radians. Questions arise regarding the manipulation of the equation and its impact on the intersection.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and results from different tools, such as Mathematica. There is a lack of explicit consensus, but some guidance is being offered regarding the interpretation of the equation and the graphical approach.

Contextual Notes

Some participants express uncertainty about the manipulation of the equation and its implications for the intersection points. There is also mention of limitations in the mathematical representation used in the discussion.

MrXow
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Homework Statement


1 = absolute value( (sin(x)-x)/(sin(x))) * 100


Homework Equations


Don't think there are any.


The Attempt at a Solution


I decided to do it graphically, so i graphed y=.01 and y= absolute value(1-(x/sin(x))
I got x = .244 radians for the intersection and I am just not sure if it is correct because i can manipulate the equation so that they never intersect or I can manipulate it so the point changes.
 
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Be more specific. How did you manipulate the equation?
 
MrXow said:

Homework Statement


1 = absolute value( (sin(x)-x)/(sin(x))) * 100


Homework Equations


Don't think there are any.


The Attempt at a Solution


I decided to do it graphically, so i graphed y=.01 and y= absolute value(1-(x/sin(x))
I got x = .244 radians for the intersection and I am just not sure if it is correct because i can manipulate the equation so that they never intersect or I can manipulate it so the point changes.

In order to see the problem better..

[tex]1= |(\frac{\sin(x)-x}{\sin(x)})(100)|[/tex]
 
ya that's it I don't know how to do that fancy typing stuff
 
when i put it in mathematica
"FindRoot[1 == Abs[((Sin[x] - x)/Sin[x])]*100, {x, 0.1}]"
i get
{x -> 0.244097}
which makes sense
 
So, what is your question?
 

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