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uncertainties in physics IA


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I am doing my physics Sl IA on refractive index (how does refractive index of water change with sugar concentration). I've calculated the uncertainty of concentration and of the angle of refraction, but I'm a bit stuck when it comes to calculating the uncertainty of the refractive index.

Since it is part of Snell's law, image.png.85282c957b8fd33cde13945b6003bd08.pngI'm not sure how uncertainties can be calculated when there are trigonometric functions like sin. Can someone help me out. Is there a general formula? 

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