两边平方,得1+sin2θ=1-√3/2,得sin2θ=-√3/2因为θ∈ (0,π),所以2θ∈ (0,2π),所以2θ=4π/3或2θ=5π/3所以θ=2π/3或θ=5π/6,用sinθ+cosθ=(√3-1)/2判断一下可知,当θ=5π/6时,sinθ+cosθ=1/2-√3/2与题不...