5√3sinx+5cosx=6,5√3sinx/10+5cosx/10=6/10√3/2*sinx+1/2*cosx=3/5sinxcosπ/6+cosxsinπ/6=3/5sin(x+π/6)=3/5x∈(0,π/3)x+π/6∈(π/6,π/2)cos(x+π/6)=4/5√2siny+√6cosy=1√2siny/√2+√6cosy/√2=1/√2si...