Знайти tgx, якщо ctg(x-π/4)=4/3

Ctg(x - π/4) = 4/3,   tgx - ?tg(x - π/4) = 3/4(tgx - tgπ/4)/(1 + tgx*tgπ/4) = 3/4(tgx - 1)/(1 + tgx) = 3/44(tgx - 1) = 3(1 + tgx)4tgx -4 = 3 + 3tgx tgx = 7