Відповіді АЛГЕБРА: 16.30

16.30

1) tg(x4 – π4) = 1;

x4 – π4 = π4 + πn, n є z;

x4 = π2 + πn;

x = 2π + 4πn, n є z;

n = –1; x = 2π – 4π = –2π;

2) cos(4x – π6) = –32

4x – π6 = ± (π – π6) + 2πn, n є z;

4x – π6 = ± 5π6 + 2πn;

4x = π6 ± 5π6 + 2πn;

x = π24 ± 5π6 + 2πn;

n = 0; x₁ = π24 + 5π24 = 6π24 = π4

x₂ = π24 – 5π24 = –4π24 = –π6