求2和3题,大哥大姐们帮帮忙

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求2和3题,大哥大姐们帮帮忙
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求2和3题,大哥大姐们帮帮忙
求2和3题,大哥大姐们帮帮忙
 

求2和3题,大哥大姐们帮帮忙
设θ=x+y,Ψ=x-y;x=(θ+Ψ)/2,y=(θ-Ψ)/2
cosθ+cosΨ=cos(x+y)+cos(x-y)=cosxcosy-sinxsiny+cosxcosy+sinxsiny=2cosxcosy=2cos(θ+Ψ)/2 cos(θ+Ψ)/2
cosθ-cosΨ=cos(x+y)-cos(x-y)=cosxcosy-sinxsiny-cosxcosy-sinxsiny=-2sinxsiny=-2sin(θ+Ψ)/2 sin(θ+Ψ)/2