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Консультация № 183182
15.05.2011, 23:19
53.35 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос
помогите решить ctgx+sinx/(1+cosx)=2
помогите решить ctgx+sinx/(1+cosx)=2
Обсуждение
15.05.2011, 23:33
общий
это ответ
Здравствуйте, Посетитель - 374461!
ctg x+sin x/(1+cos x)=2
1/tg x+2sin(x/2)cos(x/2)/(2cos2(x/2))=2
(1-tg2(x/2))/2tg(x/2)+tg(x/2)=2
Замена tg(x/2)=y
(1-y2)/2y+y=2
1-y2+2y2=4y
y2-4y+1=0
y=2[$177$][$8730$]3
tg(x/2)=2[$177$][$8730$]3
x=2arctg(2[$177$][$8730$]3)+2Pi*n (n[$8712$]Z)
ctg x+sin x/(1+cos x)=2
1/tg x+2sin(x/2)cos(x/2)/(2cos2(x/2))=2
(1-tg2(x/2))/2tg(x/2)+tg(x/2)=2
Замена tg(x/2)=y
(1-y2)/2y+y=2
1-y2+2y2=4y
y2-4y+1=0
y=2[$177$][$8730$]3
tg(x/2)=2[$177$][$8730$]3
x=2arctg(2[$177$][$8730$]3)+2Pi*n (n[$8712$]Z)
4
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