Question

How do I calculate the uncertainty of the sin of an angle?

Answer 1

If I have a function
\[f = f(x) \]
and my uncertainty in x is
\[ \delta x\]
then
\[ \delta f = \frac{df}{dx} \cdot \delta x\]
so if you have
\[f(x) = \sin(x)\]
then
\[\delta f = \cos(x) \cdot \delta x \]

Answer 2

in absolute value, of course.

Answer 3

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