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WenZ07er
@WenZ07er
November 2021
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Здравствуйте, решите, пожалуйста, это уравнение!
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Удачник66
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Умножаем все на tg 5x, при этом tg 5x*ctg 5x = 1. Получаем
tg^2 5x + 4tg 5x + 3 = 0
(tg 5x + 1)(tg 5x + 3) = 0
1) tg 5x = -1; 5x = -pi/4 + pi*k
x1 = -pi/20 + pi/5*k
2) tg 5x = -3; 5x = -arctg(3) + pi*n
x = -1/5*arctg(3) + pi/5*n
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Answers & Comments
Verified answer
Умножаем все на tg 5x, при этом tg 5x*ctg 5x = 1. Получаемtg^2 5x + 4tg 5x + 3 = 0
(tg 5x + 1)(tg 5x + 3) = 0
1) tg 5x = -1; 5x = -pi/4 + pi*k
x1 = -pi/20 + pi/5*k
2) tg 5x = -3; 5x = -arctg(3) + pi*n
x = -1/5*arctg(3) + pi/5*n