Trigonometry Angles--Pi/30

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook

[画像:cos(pi/(30))] = [画像:1/4sqrt(7+sqrt(5)+sqrt(6(5+sqrt(5))))]

(1)

[画像:cos((7pi)/(30))] = [画像:1/4sqrt(7-sqrt(5)+sqrt(6(5-sqrt(5))))]

(2)

[画像:cos((11pi)/(30))] = [画像:1/4sqrt(7+sqrt(5)-sqrt(6(5+sqrt(5))))]

(3)

[画像:cos((13pi)/(30))] = [画像:1/4sqrt(7-sqrt(5)-sqrt(6(5+sqrt(5))))]

(4)

[画像:cot(pi/(30))] = sqrt(23+10sqrt(5)+2sqrt(255+114sqrt(5)))

(5)

[画像:cot((7pi)/(30))] = sqrt(23-10sqrt(5)+2sqrt(255-114sqrt(5)))

(6)

[画像:cot((11pi)/(30))] = sqrt(23+10sqrt(5)-2sqrt(255+114sqrt(5)))

(7)

[画像:cot((13pi)/(30))] = sqrt(23-10sqrt(5)-2sqrt(255-114sqrt(5)))

(8)

[画像:csc(pi/(30))] = 2+sqrt(5)+sqrt(15+6sqrt(5))

(9)

[画像:csc((7pi)/(30))] = -2+sqrt(5)+sqrt(15-6sqrt(5))

(10)

[画像:csc((11pi)/(30))] = -2-sqrt(5)+sqrt(15+6sqrt(5))

(11)

[画像:csc((13pi)/(30))] = 2-sqrt(5)+sqrt(15-6sqrt(5))

(12)

[画像:sec(pi/(30))] = sqrt(8-2sqrt(5)-2sqrt(15-6sqrt(5)))

(13)

[画像:sec((7pi)/(30))] = sqrt(8+2sqrt(5)-2sqrt(15+6sqrt(5)))

(14)

[画像:sec((11pi)/(30))] = sqrt(8-2sqrt(5)+2sqrt(15-6sqrt(5)))

(15)

[画像:sec((13pi)/(30))] = sqrt(8+2sqrt(5)+2sqrt(15+6sqrt(5)))

(16)

[画像:sin(pi/(30))] = 1/8(-1-sqrt(5)+sqrt(30-6sqrt(5)))

(17)

[画像:sin((7pi)/(30))] = 1/8(+1-sqrt(5)+sqrt(30+6sqrt(5)))

(18)

[画像:sin((11pi)/(30))] = 1/8(+1+sqrt(5)+sqrt(30-6sqrt(5)))

(19)

[画像:sin((13pi)/(30))] = 1/8(-1+sqrt(5)+sqrt(30+6sqrt(5)))

(20)

[画像:tan(pi/(30))] = sqrt(7-2sqrt(5)-2sqrt(15-6sqrt(5)))

(21)

[画像:tan((7pi)/(30))] = sqrt(7+2sqrt(5)-2sqrt(15+6sqrt(5)))

(22)

[画像:tan((11pi)/(30))] = sqrt(7-2sqrt(5)+2sqrt(15-6sqrt(5)))

(23)

[画像:tan((13pi)/(30))] = sqrt(7+2sqrt(5)+2sqrt(15+6sqrt(5))).

(24)

See also

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

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

Cite this as:

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

Subject classifications