若[sin(π-θ)+cos(2π-θ)]/[cos(5π/2-θ)+sin(3π/2+θ)]=2,求sinθ*cosθ的值若[s_数学解答

若[sin(π-θ)+cos(2π-θ)]/[cos(5π/2-θ)+sin(3π/2+θ)]=2,求sinθ*cosθ的值
若[sin（π-θ）+cos（2π-θ）]/[cos(5π/2-θ)+sin(3π/2+θ）]=2,求sinθ*cosθ的值

人气：143 ℃　时间：2020-06-05 09:50:42

解答

[sin(π-θ)+cos(2π-θ)]/[cos(5π/2-θ)+sin(3π/2+θ)]=2=(sinθ+cosθ)/(sinθ-cosθ)=2
sinθ=3cosθ
sinθ*cosθ=3/10