How to Calculate Uncertainty of Sine Values Given Theta Values?

[lemaire]

Homework Statement

I know Theta1 and Theta2. I also know sin(Theta1) and sin(Theta2). I am being asked to find the uncertainty of sin(Theta1) and sin(Theta2).

Homework Equations

The Attempt at a Solution

Should i use the error propagation rule here? if so, will the uncertainty of sin(Theta1) be the partial derivative of sin(Theta1) with respect to Theta thus be cos(Theta1)?

 

[gabbagabbahey]

You can use the propagation rule; but you also need to know the error in theta \Delta \theta_1 and \Delta \theta_2...and don't forget to include absolute value signs around your partial derivatives, since absolute error is typically expressed as a positive number.