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ashixminas
@ashixminas
July 2022
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Помогите пожалуйста с алгеброй!!!!! Заранее спасибо!
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Ranbu
2sin2xcos2x=6cos^2 2x-4(sin^2 2x+cos^2 2x)
2sin2xcos2x-6cos^2 2x+4sin^2 2x+4cos^2 2x=0
2sin2xcos2x-2cos^2 2x+4sin^2 2x=0 |:cos^2 2x≠0
2tg2x-2+4tg^2 2x=0
2tg^2 2x+gx-1=0
решаем квадратное уравнение:
D=9
tg2x=(-1+-3)/4
1)tg2x=1/2 2)tg2x=-1
x=1/2 arctg 1/2+pik/2 x=-pi/8+pik/2
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Answers & Comments
2sin2xcos2x-6cos^2 2x+4sin^2 2x+4cos^2 2x=0
2sin2xcos2x-2cos^2 2x+4sin^2 2x=0 |:cos^2 2x≠0
2tg2x-2+4tg^2 2x=0
2tg^2 2x+gx-1=0
решаем квадратное уравнение:
D=9
tg2x=(-1+-3)/4
1)tg2x=1/2 2)tg2x=-1
x=1/2 arctg 1/2+pik/2 x=-pi/8+pik/2