[latex](sinx-cosx) ^{2}* \sqrt{9- x^{2} }=0 [/latex]

ОДЗ (3-x)(3+x)≥0 x=3  x=-3 x∈[-3;3] 9-x²=0 x1=3 x2=-3 (sinx-cosx)²=0 sin²x-2sinxcosx+cos²x=0 1-sin2x=0 sin2x=1 x=π/2+2πk,k∈z x3=-3π/4 x4=π/4