若-2π/3≤θ≤2π/3则sin(θ-π/3)的取值范围?

若（sinθ+cosθ）/（sinθ-cosθ）=2,则sin（θ-5π）*sin（3π/2-θ）等于? (sinθ+cosθ)/(sinθ-cosθ)=2,则sin(θ-5π)*sin(3π/2-θ)= cot(π+θ)=2,则(3sinθ-cosθ)/(sinθ+cosθ)=? 若 θ ∈( π /2, π ),则√[1-2sin( π + θ )*sin(3 π /2- θ )] 设sinθ+cosθ=√2/3,π/2sinθ^3是sinθ的3次 计算,sin(π/12)-sin(5π/12)+2sin(π/8)sin(3π/8) 已知sinθ+cosθ=1/5,且π/2≤θ≤3π/4,则cos^2-θsin^2θ的值 已知sin(3π-α)=-2sin(π/2+α)则sinαcosα 化简sin(α+β)+sin(α-β)+2sinαsin(3π/2-β)= sin(π-θ）+cos(2π-θ）/cos(5π/2-θ)+sin(3π/2+θ)=2,则sinθcosθ=______ 若tanx=2,则2sin平方x-3sin（π-x）sin（π/2-x）= 设θ是第三象限的角,sin(θ/2+3π/2)>0,则[√(1-sinθ)]/[cos(θ/2)-sin(θ/2)]的值为? 若sin(π+α)+sin(-α)=-m,则sin（3π+a)+2sin(2π-a)的值为? 若（sinα+cosα）/（sinα-cosα）=2 则sin(α-5π)·sin(3π/2-α)=? 若sinα+cosα/sinα-cosα=2,则sin(α-5π）*sin（3π/2-α）等于? ①利用公式sin(π-θ)=sinθ和sin(∏+θ)=-sinθ证明：sin（-θ）=-sinθ②证明tanθsinθ∕tanθ-sinθ=1+cosθ∕sinθ③已知sinα-2cosα+1=0,α≠kπ+π∕2,k∈z求：tan（3π-α）和1∕sin2α-sinαcosα+1的值‍ 已知A,B,C∈(0,π) 若有A+B+C=π,试证：sin(2/A)+sin(B/2)+sin(C/2)≤3/2 1.已知2sin(3π+θ）=cos(π+θ）,求2sin