(1)化简:根号2sin(π/4-x)+根号6cos(π/4-x)(2)sin(67°-x)cos(x-22°)+cos(67°-x)cos(112°-x)的值为

问题描述:

(1)化简:根号2sin(π/4-x)+根号6cos(π/4-x)
(2)sin(67°-x)cos(x-22°)+cos(67°-x)cos(112°-x)的值为

(1)化简:根号2sin(π/4-x)+根号6cos(π/4-x)=2(根号2)[(1/2)sin(π/4-x)+(根号3)/2 *cos(π/4-x)]=2(根号2)[sin(π/4-x)cos(π/3)+cos(π/4-x)sin(π/3)]=2(根号2)sin[(π/4-x)+π/3]=2(根号2)sin(7π/12 -x)(2)...