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настя444t
@настя444t
July 2022
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tg x-2ctg x+1=0
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Одз и ответ. Решение есть
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армения20171
Verified answer
Tgx-2ctgx+1=0
tgx-2/tgx+1=0
tg²x+tgx-2=0;tgx≠0; x≠πk
tgx=t
t²+t-2=0
D=1+8=9=3²
t=(-1±3)/2;t1=-2;t2=1
1)tgx=1;x=π/4+πk;k€Z
2)tgx=-2;x=arctg(-2)+πk
x=π-arctg2+πk
x=-arctg2+π(k+1);k€Z
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Answers & Comments
Verified answer
Tgx-2ctgx+1=0tgx-2/tgx+1=0
tg²x+tgx-2=0;tgx≠0; x≠πk
tgx=t
t²+t-2=0
D=1+8=9=3²
t=(-1±3)/2;t1=-2;t2=1
1)tgx=1;x=π/4+πk;k€Z
2)tgx=-2;x=arctg(-2)+πk
x=π-arctg2+πk
x=-arctg2+π(k+1);k€Z