Physics 60 Optics: Double Slit Interference (33 of 35) Position of the 1st Min of 4-Slit

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In this video I will find the position of the first minimum of a 4-slit interference pattern.

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Is it acceptable to set the formula for the intensity to 0 and then solve for sin(_N⋅ϕ_/2) = 0?
That's what I typically do, and it seems to give me the right answers.

Peter_