cosxsin(x-1)-sinxcos(1-x) :cos(1-x)=cos(x-1);因为cosx是偶函数
=cosxsin(x-1)-sinxcos(x-1) :和差化积公式:sinacosb-sinbcosa=sin(a-b)
=sin(x-1-x)
=sin(-1) :sinx是奇函数,sinx=-sin(-x);
=-sin1;
如果本题有什么不明白可以追问,
cosxsin(x-1)-sinxcos(1-x) :cos(1-x)=cos(x-1);因为cosx是偶函数
=cosxsin(x-1)-sinxcos(x-1) :和差化积公式:sinacosb-sinbcosa=sin(a-b)
=sin(x-1-x)
=sin(-1) :sinx是奇函数,sinx=-sin(-x);
=-sin1;
如果本题有什么不明白可以追问,