Trigonometry Angles--Pi/24
[画像:cos(pi/(24))] = 1/2sqrt(2+sqrt(2+sqrt(3)))
(1)
[画像:cos((5pi)/(24))] = 1/2sqrt(2+sqrt(2-sqrt(3)))
(2)
[画像:cos((7pi)/(24))] = 1/2sqrt(2-sqrt(2-sqrt(3)))
(3)
[画像:cos((11pi)/(24))] = 1/2sqrt(2-sqrt(2+sqrt(3)))
(4)
[画像:cot(pi/(24))] = +2+sqrt(2)+sqrt(3)+sqrt(6)
(5)
[画像:cot((5pi)/(24))] = +2-sqrt(2)-sqrt(3)+sqrt(6)
(6)
[画像:cot((7pi)/(24))] = -2-sqrt(2)+sqrt(3)+sqrt(6)
(7)
[画像:cot((11pi)/(24))] = -2+sqrt(2)-sqrt(3)+sqrt(6)
(8)
[画像:csc(pi/(24))] = sqrt(16+10sqrt(2)+8sqrt(3)+6sqrt(6))
(9)
[画像:csc((5pi)/(24))] = sqrt(16-10sqrt(2)-8sqrt(3)+6sqrt(6))
(10)
[画像:csc((7pi)/(24))] = sqrt(16+10sqrt(2)-8sqrt(3)-6sqrt(6))
(11)
[画像:csc((11pi)/(24))] = sqrt(16-10sqrt(2)+8sqrt(3)-6sqrt(6))
(12)
[画像:sec(pi/(24))] = sqrt(16-10sqrt(2)+8sqrt(3)-6sqrt(6))
(13)
[画像:sec((5pi)/(24))] = sqrt(16+10sqrt(2)-8sqrt(3)-6sqrt(6))
(14)
[画像:sec((7pi)/(24))] = sqrt(16-10sqrt(2)-8sqrt(3)+6sqrt(6))
(15)
[画像:sec((11pi)/(24))] = sqrt(16+10sqrt(2)+8sqrt(3)+6sqrt(6))
(16)
[画像:sin(pi/(24))] = 1/2sqrt(2-sqrt(2+sqrt(3)))
(17)
[画像:sin((5pi)/(24))] = 1/2sqrt(2-sqrt(2-sqrt(3)))
(18)
[画像:sin((7pi)/(24))] = 1/2sqrt(2+sqrt(2-sqrt(3)))
(19)
[画像:sin((11pi)/(24))] = 1/2sqrt(2+sqrt(2+sqrt(3)))
(20)
[画像:tan(pi/(24))] = -2+sqrt(2)-sqrt(3)+sqrt(6)
(21)
[画像:tan((5pi)/(24))] = -2-sqrt(2)+sqrt(3)+sqrt(6)
(22)
[画像:tan((7pi)/(24))] = +2-sqrt(2)-sqrt(3)+sqrt(6)
(23)
[画像:tan((11pi)/(24))] = +2+sqrt(2)+sqrt(3)+sqrt(6).
(24)
See also
Icositetragon, Trigonometry Angles, Trigonometry, Trigonometry Angles--Pi/12Explore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Trigonometry Angles--Pi/24." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TrigonometryAnglesPi24.html