I conducted an experiment to find the refractive index of several concentrations of sugar solutions. I now need to find out the final uncertainty of my measurements but am unsure of how to go about calculating it.
- I took 2 measurements of length which i estimate the uncertainty to be +/- 0.025cm (let these measurements of length be a & b)
- I divided these two lengths and took the arctan of them: c=arctan(a/b)
- I then placed it in this equation: 2sin(c/2+pi/6)
What happens to the uncertainty?
The Attempt at a Solution
I am not too sure with the trigonometric operators but I assume they don't do anything to the uncertainties. I am guessing that if this is true, then i just use the usual uncertainty rules of +, -, /, * ?
Thanks so much!