根号2sin(x+π/4)化简

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/23 03:11:06
根号2sin(x+π/4)化简根号2sin(x+π/4)化简根号2sin(x+π/4)化简原式=√2/2*[sin(π/4-x)*1/2+cos(π/4-x)*√3/2]=√2/2*[sin(π/4-

根号2sin(x+π/4)化简
根号2sin(x+π/4)化简

根号2sin(x+π/4)化简
原式=√2/2*[sin(π/4-x)*1/2+cos(π/4-x)*√3/2] =√2/2*[sin(π/4-x)cosπ/3+cos(π/4-x)sinπ/3] =√2/2*sin(π/4-x

√2×sin(x+π/4)=√2×[sinxcos(π/4)+cosxsin(π/4)]=√2×[(√2/2)sinx+(√2/2)cosx]=sinx+cosx

直接展开,这个公式都不会的话,那考试不是很夸张了,呵呵