求证sin(π/2 +α)-cos(3π/2 -α)/tan(2kπ -α)+cot(-kπ+α)=sin(4kπ -α)sin(π/2 -α)/cos(5π+α)sin(π/2 +α)-cos(3π/2 -α)/tan(2kπ -α)+cot(-kπ+α)=sin(4kπ -α)sin(π/2 -α)/cos(5π+α)-cos(π/2 + α)谁帮我做做

求证cos(3π/2+α)=sinα cos(3π/2-α)=sinα求证 求证:(根号3)*sinα+cosα=2sin(α+π/6) 关于三角函数诱导公式的证明题求证：[Sin(α-3π)+cos(α-4π)]/{[Cos(α-π)/sin(α-π)]-tan(α-π)}=[sin(4π-α)cos(2π-α)]/[cos(π-α)+sin(π+α)] 已知tanθ=(sin α-cos α)/(sin α+cos α) a,θ(0,π/2) 求证cos(3/2兀+ α) -sin(5π/2-α）=根号2sin(θ-4π） 求值：（tan10°-√3）×cos10°/sin50° 求证：[sin（2α+β）]/sinα- 2cos（α+β）=sinβ/cosα 化简cosθ+cos（θ+2π/3）+cos（θ+4π/3） 证明：sin（α+β）sin（α-β）=sin^2α-sin^2β 求证:cosα+√3·sinα=2sin(π/6+α). 需要详细过程 谢谢 求证 cos（A）+ 根号3sin(A)=2sin(π/6+A) 求证,sin²α+cosαcos(π/3+α)-sin²(π/6+α)的值与α无关 求证(1-2sinαcosα)/(cos²α-sin²α)=tan(π/4-α) 求证:1-2sinαcosα/cos²α-sin²α=tan（π/4-α） 求证：（1-sinα+cosα）/（1+sinα+cosα）=tan(π/4-α/2) 已知sin(α-3π)+cos(π/2+α)=m,求证cos(α-7π/2)+2sin(2kπ-α)=3m/2 已知sinα+sinβ=根号3(cosβ-cosα),α,β∈(0,π/2),求证：sin3α+sin3β=0 求证：-sinθ=cos(π/2+θ)-sinθ=cos(π/2+θ) 已知0≤φ≤π/2,求证:cos(sinφ)>sin(cosφ) 求证：[tan（2π-α）cos（3π/2-α)cos(6π-α)]/[sin(α+3π/2)cos(α+3π/2)]=-tanα 求证-sin(θ-π/2)=cosθ