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lyazzat0505
@lyazzat0505
October 2021
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Даю 30 баллов!!
Помогите решить неравенство!
sin (П/5-4x) > -1/2
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nKrynka
Решение
Решение
sin (П/5-4x) > -1/2
sin(4x - π/5) < 1/2
- π - arcsin(1/2) + 2πn < 4x - π/5 < arcsin(1/2) + 2πn, n∈z
- π - π/6 + 2πn < 4x - π/5 < π/6 + 2πn, n∈Z
- 7π/6 + 2πn < 4x - π/5 < π/6 + 2πn, n∈Z
- 7π/6 + π/5 + 2πn < 4x < π/6 + π/5 + 2πn, n∈Z
- 29π/30 + 2πn < 4x < 11π/30 + 2πn, n∈Z
- 29π/120 + πn/2 < x < 11π/120 + πn/2, n∈Z
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Answers & Comments
Решение
sin (П/5-4x) > -1/2
sin(4x - π/5) < 1/2
- π - arcsin(1/2) + 2πn < 4x - π/5 < arcsin(1/2) + 2πn, n∈z
- π - π/6 + 2πn < 4x - π/5 < π/6 + 2πn, n∈Z
- 7π/6 + 2πn < 4x - π/5 < π/6 + 2πn, n∈Z
- 7π/6 + π/5 + 2πn < 4x < π/6 + π/5 + 2πn, n∈Z
- 29π/30 + 2πn < 4x < 11π/30 + 2πn, n∈Z
- 29π/120 + πn/2 < x < 11π/120 + πn/2, n∈Z