证明以下三角等式成立,sin3β*sinγ*sin(60°-γ)/(sin3γ*sinβ*sin(60°-β))=sin(60°+β)/sin(60证明以下三角等式成立sin3β*sinγ*sin(60°-γ)/(sin3γ*sinβ*sin(60°-β))=sin(60°+β)/sin(60°+γ)

Question

证明以下三角等式成立,sin3β*sinγ*sin(60°-γ)/(sin3γ*sinβ*sin(60°-β)) =sin(60°+β)/sin(60
证明以下三角等式成立
sin3β*sinγ*sin(60°-γ)/(sin3γ*sinβ*sin(60°-β))
=sin(60°+β)/sin(60°+γ)

Answer 1

换项
sinβ*sin(60°-β)*sin(60°+β)=sin(3b)/4
sin(60°-γ)*sinγ*sin(60°+γ)=sin(3y)/4
以上再交叉换就可以了啊,这个证明就是积化和差