• Support PF! Buy your school textbooks, materials and every day products Here!

Error Analysis

  • Thread starter H_man
  • Start date
  • #1
145
0

Homework Statement



I can't seem to find online how to calculate the error propogated by trigonometric functions.

That is, I know the uncertainty in [tex] \theta [/tex] but am not sure how to deal with it when I apply the tan function.

I am quite okay with how to deal with all the basic functions w.r.t. error analysis, just not the trig ones.


Homework Equations



misc * tan(theta)

The Attempt at a Solution



Searched the internet.
 

Answers and Replies

  • #2
236
0
First thing come to my mind is to use the Tan(A+B) formula..
ps:did you try to differentiate?Tan(A+Delt(A))??
 
Last edited:
  • #3
236
0
what I mean by differentiate is this:
Tan(x+dx)=Tan'(x)dx + tan(x)
Edit:the above formula is derived from the definition of derivation, thus the error would be Tan'(x)dx
 
Last edited:
  • #4
HallsofIvy
Science Advisor
Homework Helper
41,808
933
what I mean by differentiate is this:
Tan(x+dx)=Tan'(x)dx + tan(x)
Edit:the above formula is derived from the definition of derivation, thus the error would be Tan'(x)dx
Minor point: that is true in the limit as dx goes to 0. For non-zero error dx, it is a first order approximation to the error in the function. That's probably what is needed here.
 
  • #5
703
13
Are you asking for propagation of error?
Have a look at here:
http://www.rit.edu/~uphysics/uncertainties/Uncertaintiespart2.html#functions2 [Broken]
 
Last edited by a moderator:

Related Threads on Error Analysis

  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
2K
Replies
0
Views
2K
Replies
1
Views
4K
Replies
0
Views
9K
Replies
0
Views
721
Replies
2
Views
15K
Replies
0
Views
2K
Replies
4
Views
29K
Top