Show that the central angle between points P and Q on a sphere (of any radius) with

Chapter 12, Problem 87

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Show that the central angle between points P and Q on a sphere (of any radius) with angular coordinates ( , ) and ( , ) is equal to = cos1 sin sin cos( ) + cos cos Hint: Compute the dot product of OP and OQ. Check this formula by computing the geodesic distance between the North and South Poles

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