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albina0052001
@albina0052001
July 2022
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tg³x-tg²x+2tg x-2=0
Тригонометрическое уравнение.
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avilov41
Tg^3x-tg^2x+2tgx-2=0.
Решение.
tg^2x(tgx-1)+ 2(tgx-1)=0,
(tgx-1)(tg^2x+2)=0,
tgx-1=0, отсюда x=π/4+πn, n∈z.
tg^2x+2=0 ,очевидно решений не имеет .
Ответ. π/4+πn,n∈z.
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Answers & Comments
Решение.
tg^2x(tgx-1)+ 2(tgx-1)=0,
(tgx-1)(tg^2x+2)=0,
tgx-1=0, отсюда x=π/4+πn, n∈z.
tg^2x+2=0 ,очевидно решений не имеет .
Ответ. π/4+πn,n∈z.