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mvanna24
@mvanna24
June 2022
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Тригонометрия помогите!!!
2cos^2 3x+sin 3x-1=0
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Universalka
Verified answer
2Cos²3x + Sin3x - 1 = 0
2(1 - Sin²3x) + Sin3x - 1 = 0
2 - 2Sin²3x + Sin3x - 1 = 0
- 2Sin²3x + Sin3x + 1 = 0
2Sin²3x - Sin3x - 1 = 0
Sin3x = m
2m² - m - 1 = 0
D = (-1)² - 4 * 2 * ( - 1) = 1 + 8 = 9 = 3²
7 votes
Thanks 13
mvanna24
Только для общей формулы sin там (-1)n + arcsin угла + Пи n, а не 2 Пи n
Universalka
Ваша правда, исправила.
mvanna24
Окс, все равно спасибо
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Answers & Comments
Verified answer
2Cos²3x + Sin3x - 1 = 02(1 - Sin²3x) + Sin3x - 1 = 0
2 - 2Sin²3x + Sin3x - 1 = 0
- 2Sin²3x + Sin3x + 1 = 0
2Sin²3x - Sin3x - 1 = 0
Sin3x = m
2m² - m - 1 = 0
D = (-1)² - 4 * 2 * ( - 1) = 1 + 8 = 9 = 3²