Ответ Автор - hlopushinairina 3cos²x-4sinxcosx-7sin²x=0;⇒делим на cos²x;x≠π/2+kπ;3-4tgx-7tg²x=0;⇒tgx=z;⇒7z²+4z-3=0;⇒z₁,₂=[-4⁺₋√(16+4·7·3)]/14=(-4⁺₋√100)/14=(-4⁺₋10)/14;z₁=(-4+10)/14=6/14=3/7;⇒tgx=3/7;x=arctg3/7+kπ;k∈Z;z₂=-14/14=-1;⇒tgx=-1;x=-π/4+2kπ;k∈Z;x=3/4·π+2kπ;k∈Z