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Qmechanic
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Having little experience teaching uncertainties and error propagation to high school students I am learning a lot of new things this year. One thing in the textbook we use states that the uncertainty in Sinx is Cosx * absolute uncertainty in x expressed as radians. That's fine with me.

Now, if I then used Snell's law to find refractive index (Sini/Sinr) how do I propagate those uncertainties? Can I add them?

Many thanks

David

Having little experience teaching uncertainties and error propagation to high school students I am learning a lot of new things this year. One thing in the textbook we use states that the uncertainty in Sinx is Cosx * absolute uncertainty in x expressed as radians. That's fine with me.

Now, if I then used Snell's law to find refractive index (Sini/Sinr) how do I propagate those uncertainties? Can I add them?

Many thanks

David

Having little experience teaching uncertainties and error propagation to high school students I am learning a lot of new things this year. One thing in the textbook we use states that the uncertainty in Sinx is Cosx * absolute uncertainty in x expressed as radians. That's fine with me.

Now, if I then used Snell's law to find refractive index (Sini/Sinr) how do I propagate those uncertainties? Can I add them?

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Error propagation in sine

Having little experience teaching uncertainties and error propagation to high school students I am learning a lot of new things this year. One thing in the textbook we use states that the uncertainty in Sinx is Cosx * absolute uncertainty in x expressed as radians. That's fine with me.

Now, if I then used Snell's law to find refractive index (Sini/Sinr) how do I propagate those uncertainties? Can I add them?

Many thanks

David