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Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.
Date/Time Thumbnail Dimensions User Comment; current: 12:16, 7 February 2011: 746 × 763 (88 KB): Amjahed - Add a white layer - Change page mesures : 12:13, 7 February 2011
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Date/Time Thumbnail Dimensions User Comment; current: 00:15, 9 February 2009: 700 × 700 (188 KB): Inductiveload {{Information |Description={{en|1=A chart for the conversion between degrees and radians, along with the signs of the major trigonometric functions in each quadrant.}} |Source=Own work by uploader |Author=Inductiveload |Date=2009/02
The mean vector is positioned in the center of a circle. Dashes along the circumference of this circle denote desired values. Examples include angles from magnetic north (zero degrees) going clockwise (e.g., 90 degrees from magnetic north, or eastward); times of day, which can also be described in zeitgeber time and circadian time; and phase ...
The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.
A circle with an equilateral chord (red). One sixtieth of this arc is a degree. Six such chords complete the circle. [6] The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to the fact that 360 is approximately the number of days in a year.
The single standard watch of 4 hours (two double hours) was divided into 60 time-degrees (ush). One double hour had 30, and one complete stellar day, 360 (12 times 30). [19] This assignment was the creation of the 360-degree circle, as the degree went from being a time division to an angular distance of rotation.