1.cos4x=корень из 3/2
2.sinx/2=-корень из 2/2
3. 2sin^2x+sinx-1=0
4. tg(x+П/6)=1/ корень из 3
5.4tgx+3ctgx=7

1cos4x=√3/24x=+-π/6+2πnx=+-π/24+πn/2,n∈z2sinx/2=√2/2x/2=(-1)^n*π/4+πnx=(-1)^n*π/2+2πn,n∈z3sinx=a2a²+a-1=0D=1+8=9a1=(-1-3)/4=-1⇒sinx=-1⇒x=-π/2+2πn,n∈za2=(-1+3)/4=1/2⇒sinx=1/2⇒x=(-1)^n*π/6+πn,n∈z4x+π/6=π/6+πnx=πn,n∈z54tgx+3/tgx-7=04tg²x-7tgx+3=0,tgx≠0tgx=a4a²-7a+3=0D=49-48=1a1=(7-1)/8=3/4⇒tgx=3/4⇒x=arctg0,75+πn,n∈za2=(1+7)/8=1⇒tgx=1⇒x=π/4+πn,n∈z