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natashavlasova3
@natashavlasova3
July 2022
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Решите уравнение.
sin9x+sin5x=5cos2x
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sharadi
Verified answer
sin9x+sin5x=5cos2x ( в левой части сумма синусов)
2Sin7x Cos2x - 5Cos2x = 0
Cos2x(2Sin7x -5) = 0
Cos2x = 0 или 2Sin7x -5 = 0
2x =
π/2 + πk , k ∈ Z Sin7x = 5/2
x =
π/4 + πk/2 , k ∈ Z
∅
5 votes
Thanks 3
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Answers & Comments
Verified answer
sin9x+sin5x=5cos2x ( в левой части сумма синусов)2Sin7x Cos2x - 5Cos2x = 0
Cos2x(2Sin7x -5) = 0
Cos2x = 0 или 2Sin7x -5 = 0
2x = π/2 + πk , k ∈ Z Sin7x = 5/2
x = π/4 + πk/2 , k ∈ Z ∅