Question

найдите корни уравнения tg x+1=0 принадлежащие отрезку [0;2П]

Answer 1

tgx=-1
x=-π/4+πn,n∈z
0≤-π/4+πn≤2π
0≤-1+4n≤8
1≤4n≤9
1/4≤n≤9/4
n=1⇒x=-π/4+π=3π/4∈[0;2π]
n=2⇒x=-π/4+2π=7π/4∈[0;2π]