第4小题 化简 在线等
作者&投稿:超香 (若有异议请与网页底部的电邮联系)
化简4小题~
解:√2/4 sin(π/4-x)+√6/4 cos(π/4-x)=√2/2 [1/2 sin(π/4-x)+√3/2 cos(π/4-x)]=√2/2 [cosπ/3 sin(π/4-x)+sinπ/3 cos(π/4-x)]=√2/2 [ sin(π/4-x+π/3)]=√2/2 [ sin(7π/12-x)]=√2/2 [ sin(π/2+π/12-x)]=√2/2 [ cos(π/12-x)]
解:√2/4 sin(π/4-x)+√6/4 cos(π/4-x)=√2/2 [1/2 sin(π/4-x)+√3/2 cos(π/4-x)]=√2/2 [cosπ/3 sin(π/4-x)+sinπ/3 cos(π/4-x)]=√2/2 [ sin(π/4-x+π/3)]=√2/2 [ sin(7π/12-x)]=√2/2 [ sin(π/2+π/12-x)]=√2/2 [ cos(π/12-x)]