已知cos(π\3-2)=1\3,则cosα+根号3sinα=

问题描述:

已知cos(π\3-2)=1\3,则cosα+根号3sinα=

cos(π/3-α) = 1/3
cosπ/3cosα+sinπ/3sinα =1/3
(1/2)cosα+√3/2sinα = 1/3
cosα + √3sinα = 2/3