Consider that you measured an angle 0 to be 40 degrees. The uncertainty of your measurement is ± 1 degree. Using the rules for error propagations, determine the uncertainty of sin(0). Clearly show your work. Hint: The uncertainty of any function of a single variable, z = f(x), is the derivative of the function calculated at that point df multiplied by the uncertainty of the variable. A(z) = Ax

Consider that you measured an angle 0 to be 40 degrees. The uncertainty of your measurement is ± 1 degree. Using the rules for error propagations, determine the uncertainty of sin(0). Clearly show your work. Hint: The uncertainty of any function of a single variable, z = f(x), is the derivative of the function calculated at that point df multiplied by the uncertainty of the variable. A(z) = Ax