How do I calculate the uncertainty of average values, and of a value that is multiplied with sin?
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So sin(50+0.5)/sin(36.2-0.5) and sin(50-0.5)/sin(36.2+0.5) and look at the difference.
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For step 1 I would say that the uncertainty of the three values is the same ±0.5 of a singe value, you only have 3 values so any more complex statistics is unlikely to be very useful
For step 2, the simplest way to estimate the error would be to take the extreme values of the inputs and look at how that changes the result.
So sin(50+0.5)/sin(36.2-0.5) and sin(50-0.5)/sin(36.2+0.5) and look at the difference.
There are more complicated ways to analyse the errors but they usually make some assumption about how errors are distributed which might not be true for your small set of readings - so it is better to get an approximate answer that you understand than a precise one which is probably wrong.
For step 2, the simplest way to estimate the error would be to take the extreme values of the inputs and look at how that changes the result.
So sin(50+0.5)/sin(36.2-0.5) and sin(50-0.5)/sin(36.2+0.5) and look at the difference.
There are more complicated ways to analyse the errors but they usually make some assumption about how errors are distributed which might not be true for your small set of readings - so it is better to get an approximate answer that you understand than a precise one which is probably wrong.
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