Finding the Intersection of Graphs for Homework Equation

[MrXow]

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.

 

[EnumaElish]

Be more specific. How did you manipulate the equation?

 

[matadorqk]

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..

$$1= |(\frac{\sin(x)-x}{\sin(x)})(100)|$$

 

[MrXow]

ya that's it I don't know how to do that fancy typing stuff

 

[MrXow]

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

 

[EnumaElish]

So, what is your question?