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三角學角度--Pi/24

cos(pi/(24))=1/2sqrt(2+sqrt(2+sqrt(3)))
(1)
cos((5pi)/(24))=1/2sqrt(2+sqrt(2-sqrt(3)))
(2)
cos((7pi)/(24))=1/2sqrt(2-sqrt(2-sqrt(3)))
(3)
cos((11pi)/(24))=1/2sqrt(2-sqrt(2+sqrt(3)))
(4)
cot(pi/(24))=+2+sqrt(2)+sqrt(3)+sqrt(6)
(5)
cot((5pi)/(24))=+2-sqrt(2)-sqrt(3)+sqrt(6)
(6)
cot((7pi)/(24))=-2-sqrt(2)+sqrt(3)+sqrt(6)
(7)
cot((11pi)/(24))=-2+sqrt(2)-sqrt(3)+sqrt(6)
(8)
csc(pi/(24))=sqrt(16+10sqrt(2)+8sqrt(3)+6sqrt(6))
(9)
csc((5pi)/(24))=sqrt(16-10sqrt(2)-8sqrt(3)+6sqrt(6))
(10)
csc((7pi)/(24))=sqrt(16+10sqrt(2)-8sqrt(3)-6sqrt(6))
(11)
csc((11pi)/(24))=sqrt(16-10sqrt(2)+8sqrt(3)-6sqrt(6))
(12)
sec(pi/(24))=sqrt(16-10sqrt(2)+8sqrt(3)-6sqrt(6))
(13)
sec((5pi)/(24))=sqrt(16+10sqrt(2)-8sqrt(3)-6sqrt(6))
(14)
sec((7pi)/(24))=sqrt(16-10sqrt(2)-8sqrt(3)+6sqrt(6))
(15)
sec((11pi)/(24))=sqrt(16+10sqrt(2)+8sqrt(3)+6sqrt(6))
(16)
sin(pi/(24))=1/2sqrt(2-sqrt(2+sqrt(3)))
(17)
sin((5pi)/(24))=1/2sqrt(2-sqrt(2-sqrt(3)))
(18)
sin((7pi)/(24))=1/2sqrt(2+sqrt(2-sqrt(3)))
(19)
sin((11pi)/(24))=1/2sqrt(2+sqrt(2+sqrt(3)))
(20)
tan(pi/(24))=-2+sqrt(2)-sqrt(3)+sqrt(6)
(21)
tan((5pi)/(24))=-2-sqrt(2)+sqrt(3)+sqrt(6)
(22)
tan((7pi)/(24))=+2-sqrt(2)-sqrt(3)+sqrt(6)
(23)
tan((11pi)/(24))=+2+sqrt(2)+sqrt(3)+sqrt(6).
(24)

另請參閱

二十四邊形, 三角學角度, 三角學, 三角學角度--Pi/12

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請引用為

韋斯坦, 埃裡克·W. "三角學角度--Pi/24." 來自 網路資源。 https://mathworld.tw/TrigonometryAnglesPi24.html

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