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Homework Statement
The problem I am having troubles with is proving the deflection of a ray by a prism can be represented by a specific equation : θ_{d} = θ  α + arcsin(sin(α)√(n^{2}  sin^{2}(α))  sin(α)cos(α)). I have derived another form of the deflection equation for a prism and I am attempting to move it into the form requested but I am getting stuck on some trigonometry.
Homework Equations
α is the apex angle of the prism and θ is the angle of incidence on the prism.
The Attempt at a Solution
See attachments.
Attachments

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