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A second of arc, arcsecond (arcsec), or arc second, denoted by the symbol ″, [2] is 1 / 60 of an arcminute, 1 / 3600 of a degree, [1] 1 / 1 296 000 of a turn, and π / 648 000 (about 1 / 206 264.8 ) of a radian.
2.2.1 Detailed example and explanation of the "plus or minus" symbol ... Principal values of the arcsec(x) and arccsc(x) functions graphed on the cartesian plane.
mag/arcsec 2 Description 1 Excellent dark-sky site 7.6–8.0 21.76 - 22.0 the zodiacal light is visible and colorful; the gegenschein is readily visible; the zodiacal band is visible; airglow is readily visible; the Scorpius and Sagittarius regions of the Milky Way cast obvious shadows
The following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse trigonometric functions.For a complete list of integral formulas, see lists of integrals.
For the above isosceles triangle with unit sides and angle , the area 1 / 2 × base × height is calculated in two orientations. When upright, the area is sin θ cos θ {\displaystyle \sin \theta \cos \theta } .
A truly dark sky has a surface brightness of 2 × 10 −4 cd m −2 or 21.8 mag arcsec −2. [9] [clarification needed] The peak surface brightness of the central region of the Orion Nebula is about 17 Mag/arcsec 2 (about 14 milli nits) and the outer bluish glow has a peak surface brightness of 21.3 Mag/arcsec 2 (about 0.27 millinits). [10]
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Following this recommendation, the ISO 80000-2 standard abbreviations use the prefix ar-(that is: arsinh, arcosh, artanh, arsech, arcsch, arcoth). In computer programming languages, inverse circular and hyperbolic functions are often named with the shorter prefix a-(asinh, etc.). This article will consistently adopt the prefix ar-for convenience.