由tanα=1/3 tanβ=（√5）/5得sinα=3√10/10,cosα=√10/10或sinα=-3√10/10,cosα=-√10/10；sinβ=√6/6,cosβ=√30/6或sinβ=-√6/6,cosβ=-√30/6.f(x)=（√2）sin(x-α)+cos(x+β）=(√2)sinxcosα-(√2)cos...