sinx+cosx=a(sinx+cosx)²=a²sin²x+2sinxcosx+cos²x=a²1+sin2x=a²sin2x=a²-1a²-1=3(a-1)a²-1-3a+3=0a²-3a+2=0a1+a2=3 U a1*a2=2a1=1 U a2=21)sinx+cosx=1√2*(√2/2*sinx+√2/2*cosx)=1√2sin(x+π/4)=1sin(x+π/4)=1/√2x+π/4=π/4+2πn U x+π/4=3π/4+2πnx=-π/4+π/4+2πn U x=3π/4-π/4+2πnx=2πn,n∈z U x=π/2+2πn,n∈z2)√2sin(x+π/4)=2sin(x+π/4)=√2>1 нет решения