Solving Arctanx=x: A Simple Guide to Solving Trigonometric Equations

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Homework Help Overview

The problem involves solving the equation arctan(x) = x, which falls under the subject area of trigonometric equations. Participants are exploring potential methods for finding solutions without providing a definitive answer.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants suggest graphing the functions involved to identify points of intersection. Others note that a numerical solution may be necessary, indicating that there is no straightforward formula for the solution.

Discussion Status

The discussion is ongoing, with participants sharing their attempts at sketching the graphs and questioning the validity of identified solutions. There is no explicit consensus on the correctness of the findings, but guidance on using graphical methods has been provided.

Contextual Notes

Participants are considering the limitations of analytical solutions and the necessity of numerical methods, as well as the implications of their graphical interpretations.

haya
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Homework Statement


solve
arctanx=x

Homework Equations





The Attempt at a Solution

 
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Have you tried drawing a graph of each of them?
 
There is not going to be any "formula" for the solution, you will have to use some kind of numeric solution. The simplest is Office Shredder's suggestion- accurately graph y= tan x and y= x and measure the x coordinate where the graphs cross.
 
yes I tried to sketch it and I find only x=0

Are my answer is correct?
 

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