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Trigonometry Angles--Pi/30

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cos(pi/(30))=1/4sqrt(7+sqrt(5)+sqrt(6(5+sqrt(5))))
(1)
cos((7pi)/(30))=1/4sqrt(7-sqrt(5)+sqrt(6(5-sqrt(5))))
(2)
cos((11pi)/(30))=1/4sqrt(7+sqrt(5)-sqrt(6(5+sqrt(5))))
(3)
cos((13pi)/(30))=1/4sqrt(7-sqrt(5)-sqrt(6(5+sqrt(5))))
(4)
cot(pi/(30))=sqrt(23+10sqrt(5)+2sqrt(255+114sqrt(5)))
(5)
cot((7pi)/(30))=sqrt(23-10sqrt(5)+2sqrt(255-114sqrt(5)))
(6)
cot((11pi)/(30))=sqrt(23+10sqrt(5)-2sqrt(255+114sqrt(5)))
(7)
cot((13pi)/(30))=sqrt(23-10sqrt(5)-2sqrt(255-114sqrt(5)))
(8)
csc(pi/(30))=2+sqrt(5)+sqrt(15+6sqrt(5))
(9)
csc((7pi)/(30))=-2+sqrt(5)+sqrt(15-6sqrt(5))
(10)
csc((11pi)/(30))=-2-sqrt(5)+sqrt(15+6sqrt(5))
(11)
csc((13pi)/(30))=2-sqrt(5)+sqrt(15-6sqrt(5))
(12)
sec(pi/(30))=sqrt(8-2sqrt(5)-2sqrt(15-6sqrt(5)))
(13)
sec((7pi)/(30))=sqrt(8+2sqrt(5)-2sqrt(15+6sqrt(5)))
(14)
sec((11pi)/(30))=sqrt(8-2sqrt(5)+2sqrt(15-6sqrt(5)))
(15)
sec((13pi)/(30))=sqrt(8+2sqrt(5)+2sqrt(15+6sqrt(5)))
(16)
sin(pi/(30))=1/8(-1-sqrt(5)+sqrt(30-6sqrt(5)))
(17)
sin((7pi)/(30))=1/8(+1-sqrt(5)+sqrt(30+6sqrt(5)))
(18)
sin((11pi)/(30))=1/8(+1+sqrt(5)+sqrt(30-6sqrt(5)))
(19)
sin((13pi)/(30))=1/8(-1+sqrt(5)+sqrt(30+6sqrt(5)))
(20)
tan(pi/(30))=sqrt(7-2sqrt(5)-2sqrt(15-6sqrt(5)))
(21)
tan((7pi)/(30))=sqrt(7+2sqrt(5)-2sqrt(15+6sqrt(5)))
(22)
tan((11pi)/(30))=sqrt(7-2sqrt(5)+2sqrt(15-6sqrt(5)))
(23)
tan((13pi)/(30))=sqrt(7+2sqrt(5)+2sqrt(15+6sqrt(5))).
(24)

See also

Triacontagon, Trigonometry Angles, Trigonometry, Trigonometry Angles--Pi/15

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Cite this as:

Weisstein, Eric W. "Trigonometry Angles--Pi/30." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TrigonometryAnglesPi30.html

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