1)√3tgx=1;tgx=1/√3=√3/3x=arctg(√3/3)+πkx=π/6+πk2)sin3x=-13x=-π/2+πk; x=-π/6+πk/34)cosx/4=√2/2x/4=-+π/4+2πk;x=(+-)π+8πk4)tg(π/4-x/2)=-1-tg(x/2-π/4)=-1;tg(x/2-π/4)=1;x/2-π/4=π/4+πk;x=2πk5)cos^2x-3cosx=0cosx(cosx-3)=0cosx-3=0;cosx=3 нет решенияcosx=0;x=π/2+πk6)3sin^2x-5sinx-2=0sinx=t3t^2-5t-2=0D=25+4•2•3=49=7^2t1=(5+7)/6=12/6=2t2=(5-7)/6=-2/6=-1/3sinx=2; нет решенияsinx=-1/3x=(-1)^k(arcsin(-1/3))+πk;k€Z