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English: A chart for the conversion between degrees and radians, along with the signs of the major trigonometric functions in each quadrant. Date 9 February 2009
English: A chart showing the relationships between pi, tau, and radians with a circle. Shows the conversion between degrees and radians, along with the signs of the major trigonometric functions in each quadrant.
A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. [4] It is not an SI unit—the SI unit of angular measure is the radian—but it is mentioned in the SI brochure as an accepted unit. [5]
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English: Some common angles (multiples of 30 and 45 degrees) and the corresponding sine and cosine values shown on the Unit circle.The angles (θ) are given in degrees and radians, together with the corresponding intersection point on the unit circle, (cos θ, sin θ).
Hence an angle of 1.2 radians would be written today as 1.2 rad; archaic notations include 1.2 r, 1.2 rad, 1.2 c, or 1.2 R. In mathematical writing, the symbol "rad" is often omitted. When quantifying an angle in the absence of any symbol, radians are assumed, and when degrees are meant, the degree sign ° is used.
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One radian corresponds to the angle for which s = r, hence 1 radian = 1 m/m = 1. [33] However, rad is only to be used to express angles, not to express ratios of lengths in general. [34] A similar calculation using the area of a circular sector θ = 2A/r 2 gives 1 radian as 1 m 2 /m 2 = 1. [35] The key fact is that the radian is a dimensionless ...