Question

tg^2x=1
Решите уравнения и найдите tg^2x

Answer 1

tg²x=1, x≠π/2+kπ, k∈Z
tg²x-1=0
(tgx+1)(tgx-1)=0
a)tgx+1=0, tgx=-1, x=-π/4+kπ, k∈Z
b)tgx-1=0,tgx=1, x=π/4+kπ, k∈Z