sinx 0 x n nZ sinx 1 x

sinx = 0 x = πn, nЄZ sinx = - 1 x = - π/2+2πn, nЄZ sinx = 1 sinx = α x= π/2 +2πn, nЄZ x=(-1)2 arcsin α +2πn, nЄZ

tgx = ± 1 x = ± π/4 + πn, nЄZ ctgx = ± 1 x = ± π/4 + πn, nЄZ tgx = 0 x = πn, nЄZ ctgx = 0 x = π/2 + πn, nЄZ tgx = α x = arctgα + πn, nЄZ ctgx = α x = arcctgα + πn, nЄZ

Формулы тригонометрии sin 2 x= 2 sinxcosx 1/cos 2 x-1= tg 2 x cos 2 x= cos 2 x-sin 2 x sin(π/2 – x) = cosx cos 2 x= 2 cos 2 x-1 sin(x – π/2) = -cosx cos 2 x= 1 -2 sin 2 x cos(3π/2 – 2 x) = -sin 2 x