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voroncova2014
@voroncova2014
July 2022
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Кто решит. пришлю 50 рублей на счет телефона.
sinx+cosx+ sin3x=0
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Mikochan
Денег не надо,вот :3
sin 3x = 3 sin x - 4 sin^3 x
sinx+sin3x+cosx=0
4 sin x (1-sin^2 x)+ cos x = 0
(4 sin x cos x + 1) cos x = 0 => cos x = 0 => x = pi/2 + pi m
4 sin x cos x + 1 = 0
2 sin 2x = - 1
sin 2x = -1/2 => 2x = - pi/6 + 2 pi n => x = - pi/12 + pi n
1 votes
Thanks 1
voroncova2014
Спасибо:*
voroncova2014
sin^2 x+cos^2 x+ sin^2 3x=3/2
voroncova2014
вот это не можете решить?
voroncova2014
буду очень признательна
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Answers & Comments
sin 3x = 3 sin x - 4 sin^3 x
sinx+sin3x+cosx=0
4 sin x (1-sin^2 x)+ cos x = 0
(4 sin x cos x + 1) cos x = 0 => cos x = 0 => x = pi/2 + pi m
4 sin x cos x + 1 = 0
2 sin 2x = - 1
sin 2x = -1/2 => 2x = - pi/6 + 2 pi n => x = - pi/12 + pi n