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by nanis 3500 days ago
cosine is a continuous function. Rationals are dense in reals etc. eg, arccos(1/3)
1 comments

Yes, arccos(1/3) = 70.5287794 degrees
The important point is that

cos(arcos(1/3)) = cos(70.5287794... degrees) = 1/3

that is a rational value.