Question: In the development of Youngs double-slit experiment, a small-angle approximation (tan sin ) was used to find the lateral displacements of the maxima

In the development of Young’s double-slit experiment, a small-angle approximation (tan θ ≈ sin θ) was used to find the lateral displacements of the maxima (bright) and minima (dark) positions. How good is this approximation? For example, what is the percentage error for θ = 10o?

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