Решить неравенства. 40 баллов!. Created by 2400. algebra-ru

Решить неравенства. 40 баллов!...

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Решить неравенства. 40 баллов!

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oganesbagoyan

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Task/24839355
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Решить неравенство
1 .
sinx < -√2 /2 ;
-------
* * * π -arcsin(-√2 /2) < x <arcsin(-√2 /2) + 2π * * *
5π/4 < x < 7π/4
2πn + 5π/4 < x < 7π/4+ 2πn ; n∈Z

ответ : ∪ (2πn + 5π/4 ; 7π/4+ 2πn) .
n∈Z
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2.
cosx > 1/2 ;
* * * -π/3 < x <π/3 * * *
2πn - π/3 < x < π/3 + 2πn ; n∈Z

ответ : ∪ (2πn - π/3 ; π/3+ 2πn) .
n∈Z

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