4. We describe locations on the Earth using latitude and longitude 8. Using these coordinates, we describe a location A on the

Question

4. We describe locations on the Earth using latitude and longitude 8. Using these coordinates, we describe a location A on the Earth with A = (A,θA). Las Vegas, for example, has coordinates (36° N, 115° W), or (36°, -115°). Prove the distance formula
cos(|AB|/R) = sin A sin b + cos A cos B cos(A - B),
where R is the radius of the Earth. Hint: Look at ΔABN where N is the North pole.

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