化简cos(a-55)*cos(a+5)+sin(a-55)*sin(a-5)是sin(a-5)!!!

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化简cos(a-55)*cos(a+5)+sin(a-55)*sin(a-5)是sin(a-5)!!!
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化简cos(a-55)*cos(a+5)+sin(a-55)*sin(a-5)是sin(a-5)!!!
化简cos(a-55)*cos(a+5)+sin(a-55)*sin(a-5)
是sin(a-5)!!!

化简cos(a-55)*cos(a+5)+sin(a-55)*sin(a-5)是sin(a-5)!!!
最后是sin(a+5)
原式=cos[(a-55)-(a+5)]
=cos(-60)
=1/2

=cos[(a-55°)-(a+5°)]
=cos(-60°)
=cos60°
=1/2

由差角公式,cos(x-y)=cosxcosy+sinxsiny
所以原式=cos((a-55)-(a-5))=cos50

cos(a-55)*cos(a+5)+sin(a-55)*sin(a-5)
=cos[(a-55)﹣(a+5)]
=cos(-60)º
=1/2
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cos(a-55)cos(a-5)+sin(a-55)sin(a-5)
=cos[(a-55)﹣(a-5)]
=cos(-50)
=-cso50