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YuliaZagorna
@YuliaZagorna
July 2022
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Розв'яжіть рівняння Icos2xI=1/2
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sangers1959
Verified answer
|cos2x|=1/2
Раскрываем модуль, получаем два уравнения:
cos2x=1/2 2x=π/3+2πn x₁=π/6+πn x₂=-π/6+πn
-cos2x=1/2 cos2x=-1/2 2x=5π/6+2πn x₃=5π/12+πn 2x=4π/3+2πn x₄=2π/3+πn.
2 votes
Thanks 1
YuliaZagorna
Велике Вам дякую!!!)))
sangers1959
Будь ласка!
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Answers & Comments
Verified answer
|cos2x|=1/2Раскрываем модуль, получаем два уравнения:
cos2x=1/2 2x=π/3+2πn x₁=π/6+πn x₂=-π/6+πn
-cos2x=1/2 cos2x=-1/2 2x=5π/6+2πn x₃=5π/12+πn 2x=4π/3+2πn x₄=2π/3+πn.