sin²x+3sinxcosx+2cos²х=0
Делим выражение на cos²x≠0; х≠П/2+Пn; n∈Z
tg²x+3tgx+2=0
(tgx+1)(tgx+2)=0
1) tgx=-1; x=3П/4+Пn; n∈Z
2) tgx=-2; x=-arctg2+Пn; n∈Z
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sin²x+3sinxcosx+2cos²х=0
Делим выражение на cos²x≠0; х≠П/2+Пn; n∈Z
tg²x+3tgx+2=0
(tgx+1)(tgx+2)=0
1) tgx=-1; x=3П/4+Пn; n∈Z
2) tgx=-2; x=-arctg2+Пn; n∈Z