三角学角度--Pi/30

cos(pi/(30))

=

1/4sqrt(7+sqrt(5)+sqrt(6(5+sqrt(5))))

cos((7pi)/(30))

=

1/4sqrt(7-sqrt(5)+sqrt(6(5-sqrt(5))))

cos((11pi)/(30))

=

1/4sqrt(7+sqrt(5)-sqrt(6(5+sqrt(5))))

cos((13pi)/(30))

=

1/4sqrt(7-sqrt(5)-sqrt(6(5+sqrt(5))))

cot(pi/(30))

=

sqrt(23+10sqrt(5)+2sqrt(255+114sqrt(5)))

cot((7pi)/(30))

=

sqrt(23-10sqrt(5)+2sqrt(255-114sqrt(5)))

cot((11pi)/(30))

=

sqrt(23+10sqrt(5)-2sqrt(255+114sqrt(5)))

cot((13pi)/(30))

=

sqrt(23-10sqrt(5)-2sqrt(255-114sqrt(5)))

csc(pi/(30))

=

2+sqrt(5)+sqrt(15+6sqrt(5))

csc((7pi)/(30))

=

-2+sqrt(5)+sqrt(15-6sqrt(5))

csc((11pi)/(30))

=

-2-sqrt(5)+sqrt(15+6sqrt(5))

csc((13pi)/(30))

=

2-sqrt(5)+sqrt(15-6sqrt(5))

sec(pi/(30))

=

sqrt(8-2sqrt(5)-2sqrt(15-6sqrt(5)))

sec((7pi)/(30))

=

sqrt(8+2sqrt(5)-2sqrt(15+6sqrt(5)))

sec((11pi)/(30))

=

sqrt(8-2sqrt(5)+2sqrt(15-6sqrt(5)))

sec((13pi)/(30))

=

sqrt(8+2sqrt(5)+2sqrt(15+6sqrt(5)))

sin(pi/(30))

=

1/8(-1-sqrt(5)+sqrt(30-6sqrt(5)))

sin((7pi)/(30))

=

1/8(+1-sqrt(5)+sqrt(30+6sqrt(5)))

sin((11pi)/(30))

=

1/8(+1+sqrt(5)+sqrt(30-6sqrt(5)))

sin((13pi)/(30))

=

1/8(-1+sqrt(5)+sqrt(30+6sqrt(5)))

tan(pi/(30))

=

sqrt(7-2sqrt(5)-2sqrt(15-6sqrt(5)))

tan((7pi)/(30))

=

sqrt(7+2sqrt(5)-2sqrt(15+6sqrt(5)))

tan((11pi)/(30))

=

sqrt(7-2sqrt(5)+2sqrt(15-6sqrt(5)))

tan((13pi)/(30))

=

sqrt(7+2sqrt(5)+2sqrt(15+6sqrt(5))).