cos(x+27°)cos(18°-x)-sin(18°-x)sin(x+27°)=cos(x+27°)cos(18°-x)+cos[90°-(60°-x)]sin(x-18°)原本是-sin(18°-x)负号怎么变成的+cos[90°-(60°-x)] cos前的负号

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cos(x+27°)cos(18°-x)-sin(18°-x)sin(x+27°)=cos(x+27°)cos(18°-x)+cos[90°-(60°-x)]sin(x-18°)原本是-sin(18°-x)负号怎么变成的+cos[90°-(60°-x)]    cos前的负号
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cos(x+27°)cos(18°-x)-sin(18°-x)sin(x+27°)=cos(x+27°)cos(18°-x)+cos[90°-(60°-x)]sin(x-18°)原本是-sin(18°-x)负号怎么变成的+cos[90°-(60°-x)] cos前的负号
cos(x+27°)cos(18°-x)-sin(18°-x)sin(x+27°)=cos(x+27°)cos(18°-x)+cos[90°-(60°-x)]sin(x-18°)
原本是-sin(18°-x)负号怎么变成的+cos[90°-(60°-x)] cos前的负号

cos(x+27°)cos(18°-x)-sin(18°-x)sin(x+27°)=cos(x+27°)cos(18°-x)+cos[90°-(60°-x)]sin(x-18°)原本是-sin(18°-x)负号怎么变成的+cos[90°-(60°-x)] cos前的负号
这是三角函数的公式,cos cos-sin sin=cos(a+b)
所以,原式=cos(x+27°+18°-x)=cos45°=根号2/2