Question

Решите неравенство: а)sin(x-П/6)больше 0
б)tgx(x-П/4)меньше или равно 0

Answer 1

a)  sin(x - π/6) > 0
arcsin0 + 2πn  < x - π/6 < π - arcsin0 + 2πn, n∈Z
 2πn  < x - π/6 < π  + 2πn, n∈Z
 π/6 + 2πn  < x  < π + π/6 + 2πn, n∈Z
 π/6 + 2πn  < x  < 7π/6 + 2πn, n∈Z
б) tgx(x - π/4) ≤ 0
- π/2 + πn  ≤ x - π/4 ≤ arctg0 + πn, n∈Z
- π/2 + π/4 + πn  ≤ x  ≤  π/4 + πn, n∈Z
- π/4 + πn  ≤ x  ≤  π/4 + πn, n∈Z