How do I find the error in measurement of $\sin \theta$, if I am given the error in the measurement of the $\theta$


In general, if you have a function $f$ of a single variable $x$, you can propagate the uncertainty in the following way: $$ \delta f = \left|\frac{df}{dx}\right| \delta x$$

If you have a function $g$ of several variables $x$ and $y$ with uncorrelated uncertainties, then $$\delta g = \sqrt{\left(\frac{\partial g}{\partial x}\cdot \delta x\right)^2 + \left(\frac{\partial g}{\partial y}\cdot \delta y\right)^2}$$

If your uncertainties are correlated ... you have more work to do ;)

| cite | improve this answer | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.