化简 -根号3sin平方x+sinxcosx,

题目

化简 -根号3sin平方x+sinxcosx,

答案

-根号3sin平方x+sinxcosx
= -根号3【1-cos2x】/2+1/2sin2x
=-根号3/2＋根号3/2cos2x＋1/2sin2x
=-根号3/2＋sinπ/3cos2x＋cosπ/3sin2x
=-根号3/2＋sin[2X＋π/3]