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user191954
user191954

Errors with sine Propagation of uncertainties while calculating trigonometric ratios

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Qmechanic ♦
Qmechanic ♦
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If one has an equation such as x=-(3.2±0.1)cos(30.3º±0.2º).$$x=-(3.2±0.1)\cos(30.3º±0.2º).$$ How does the error carry to be able to find the value of x.$x$? I have found that you have to -sine the error in the cosine, but then how do you deal with the value by which the scalar is multiplied, and its error?

If one has an equation such as x=-(3.2±0.1)cos(30.3º±0.2º). How does the error carry to be able to find the value of x. I have found that you have to -sine the error in the cosine, but then how do you deal with the value by which the scalar is multiplied, and its error?

If one has an equation such as $$x=-(3.2±0.1)\cos(30.3º±0.2º).$$ How does the error carry to be able to find the value of $x$? I have found that you have to -sine the error in the cosine, but then how do you deal with the value by which the scalar is multiplied, and its error?

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John Arg
John Arg
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Errors with sine

If one has an equation such as x=-(3.2±0.1)cos(30.3º±0.2º). How does the error carry to be able to find the value of x. I have found that you have to -sine the error in the cosine, but then how do you deal with the value by which the scalar is multiplied, and its error?