∵sin(3π+θ)=-sinθ= 1 3 ,∴sinθ=- 1 3 ,原式= ?cosθ cosθ(?cosθ?1) + cos(2π?θ) ?sin( 3π 2 ?θ)cos(π?θ)+cosθ = 1 1+cosθ + cosθ ?cos2θ +cosθ = 1 1+cosθ + 1 1?cosθ = 2 1?cos2θ = 2 sin2θ = 2 (? 1 3 )2 =18.