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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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