求证三角函数.2cos(wt1+θ)*s(wt2+θ)=cosw(t2-t1)+cos[w(t1+t2)+2θ]
问题描述:
求证三角函数.2cos(wt1+θ)*s(wt2+θ)=cosw(t2-t1)+cos[w(t1+t2)+2θ]
答
这不是积化和差吗:cosacosb=(cos(a+b)+cos(a-b))/2p表示theta:2cos(wt1+p)*cos(wt2+p)=cos(wt1+wt2+2p)+cos(wt1+p-wt2-p)=cos(w(t1-t2))+cos(w(t1+t2)+2p)=cos(w(t2-t1))+cos(w(t1+t2)+2p)