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

  • Thread starter Thread starter haya
  • Start date Start date
haya
Messages
15
Reaction score
0

Homework Statement


solve
arctanx=x

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
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?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Limit Calculation with L'Hospital's Rule: arctanx/arcsinx rigorously at x=0
Replies
5
Views
2K
Prove that arctanx has to be less than x
Replies
13
Views
7K
Limiting x->∞: (e^(x^-2)-1)/(π-2arctan(x^2))
Replies
10
Views
1K
Integrate [(x^4+x^2+1)/2(1+x^2)]dx: Soln & Explanation
Replies
2
Views
1K
What Substitution Solves This Integral?
Replies
4
Views
2K
What is the best method for integrating x(arctanx)^2?
Replies
8
Views
3K
Is There a Way to Integrate ∫xarctanx dx Without Going Back into Arctanx?
Replies
1
Views
2K
Convergence of Integral with Variable Limits: Investigating a and b
Replies
19
Views
2K
Trigonomentry, differentiation + equation.
Replies
16
Views
3K
Converting Improper Integral with Arctan to Partial Fractions
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top