Решите тригонометрическое неравенство cos(x/3+pi/3) меньше =cos5pi/3
Решите тригонометрическое неравенство
cos(x/3+pi/3)<=cos5pi/3
Ответ(ы) на вопрос:
cos(x/3 + π/3) ≤ cos(5π/3)
cos(x/3 + π/3) ≤ 1/2
arccos(1/2) + 2πn ≤ (x/3 + π/3) ≤ 2π - arccos(1/2) + 2πn, n∈Z
π/3+ 2πn ≤ (x/3 + π/3) ≤ 2π - π/3 + 2πn, n∈Z
π/3+ 2πn ≤ (x/3 + π/3) ≤ 5π/3 + 2πn, n∈Z
π/3 - π/3 + 2πn ≤ (x/3) ≤ 5π/3 - π/3 + 2πn, n∈Z
2πn ≤ (x/3) ≤ 4π/3 + 2πn, n∈Z
6πn ≤ x ≤ 4π + 6πn, n∈Z
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