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ninja2032
@ninja2032
August 2021
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sin3x*cos3x<0,25 можно по подробнее пожалуйста !!!
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nKrynka
Решение
Sin3x*cos3x<0,25
Sin3x*cos3x<1/4
4*
Sin3x*cos3x < 1
2*
Sin3x*cos3x < 1/2
sin6x < 1/2
-
π - arcsin1/2 + 2πn < 6x < arcsin1/2 + 2πn, n ∈ Z
- π - π/6 + 2πn < 6x < π/6
+ 2πn, n ∈ Z
- 7π/6 + 2πn < 6x < π/6
+ 2πn, n ∈ Z
- 7π/36 + πn/3 < x < π/36
+ πn/3, n ∈ Z
1 votes
Thanks 4
ninja2032
Спасибо! Сошлось!
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Answers & Comments
Sin3x*cos3x<0,25
Sin3x*cos3x<1/4
4*Sin3x*cos3x < 1
2*Sin3x*cos3x < 1/2
sin6x < 1/2
- π - arcsin1/2 + 2πn < 6x < arcsin1/2 + 2πn, n ∈ Z
- π - π/6 + 2πn < 6x < π/6 + 2πn, n ∈ Z
- 7π/6 + 2πn < 6x < π/6 + 2πn, n ∈ Z
- 7π/36 + πn/3 < x < π/36 + πn/3, n ∈ Z