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
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![Part B: Error propagation
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
multiplied by the uncertainty of the variable. A(z)
df
Ax
dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Facfb296d-c42b-4e28-876a-1baf5375f9c9%2Fe1d3086a-e8b1-4164-a9d5-bffdcc165e6c%2Fvxqg98_processed.png&w=3840&q=75)
Transcribed Image Text:Part B: Error propagation
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
multiplied by the uncertainty of the variable. A(z)
df
Ax
dx
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