Если tg (альфа+n/4)=-1/3, то значение ctg2альфа равно
Tg(a + π/4) = (tg a + tgπ/4)/(1 - tg a tgπ/4) = (tg a +1)/(1 - tg a)= -1/3 3(tga +1) = -1 + tga 3tga + 3 = -1 + tga 2tg a = -4 tg a = -2 tg 2a = 2tg a/(1 - tg²a) = -4/(1 - 4) = 4/3 Сtg 2a = 3/4