Формулы двойных углов

sin2a = 2 sina cosa

sina = 2 sin (a) cos (a)

cos2a = cos2a - sin2a =

= 1 - 2sin2a =

= 2cos2a - 1

tg2a = 2 tga

1 - tg2a

= 2

ctga - tga

tga = 2 tg (a/2)

1 - tg2 (a/2)

ctg2a = ctg2a - 1

2 ctga

= ctga - tga

ctga = ctg2 (a/2) - 1

2 ctg (a/2)

sin x = a

x = (-1)n arksin a + pn

 

cos x = a

x = ± arkcos a + 2pn

 

tg x = a

x = arktg a + pn

 

ctg x = a

x = arkctg a + pn