cosx=1/7,cos(x-y)=13/14,0<y<x<π/2.求y

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cosx=1/7,cos(x-y)=13/14,0<y<x<π/2.求ycosx=1/7,cos(x-y)=13/14,0<y<x<π/2.求ycosx=1/7,cos(x-y)=13/14,0<y<

cosx=1/7,cos(x-y)=13/14,0<y<x<π/2.求y
cosx=1/7,cos(x-y)=13/14,0<y<x<π/2.求y

cosx=1/7,cos(x-y)=13/14,0<y<x<π/2.求y
由题意知:cosx=1/7 cos(x-y)=13/14
则通过计算可得:sinx=4√3/7 sin(x-y)=3√3/14
用余弦公式:cosx·cos(x-y)+sinx·sin(x-y)=cos[x-(x-y)]=cosy
即cosy=(1/7·13/14)+(4√3/7·3√3/14)=1/2
cosy=0.5 y=π/3