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    By "unit circle", I mean a certain conceptual framework for many important trig facts and properties, NOT a big circle drawn on a sheet of paper that has angles labeled with degree measures 30, 45, 60, 90, 120, 150, etc (and or with the corresponding radian measures), along with the exact values for the sine and cosine of these angles
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    I took this image from MathIsFun com: It's a picture of the Unit Circle On the outside, in purple, are Cartesian coordinates, and on the inside, in black, are degrees What process is taken to go from the degrees to the coordinates? What is the generalized process algorithm that would be performed?
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    Related: In this old answer, I describe Y S Chaikovsky's approach to the spiral using iterated involutes of the unit-radius arc The involutes (and spiral segments) are limiting forms of polygonal curves made from a family of similar isosceles triangles; the proof of the power series formula amounts to an exercise in combinatorics (plus an
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    As part of a larger investigation, I am required to be able to calculate the distance between any two points on a unit circle I have tried to use cosine law but I can't determine any specific mann
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    Since the circumference of the unit circle happens to be $ (2\pi)$, and since (in Analytical Geometry or Trigonometry) this translates to $ (360^\circ)$, students new to Calculus are taught about radians, which is a very confusing and ambiguous term





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