cos(π/7) + cos(6π/7) =几

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/24 12:44:31
cos(π/7) + cos(6π/7) =几
x)K/8ߠobA8O$/!-BN+ 1SO;V>餞=|kgA@"`imQ,BL.U5H0 Mn/.H̳8y

cos(π/7) + cos(6π/7) =几
cos(π/7) + cos(6π/7) =几

cos(π/7) + cos(6π/7) =几
cos(π/7) + cos(6π/7)
=cos(π/7) -cos(π-6π/7)
=cos(π/7) -cos(π/7)
=0
利用和差化积公式:
cos(π/7) + cos(6π/7)
=2 cos[(π/7+6π/7)/2] cos[(π/7-6π/7)/2]
=2cos(π/2)cos(5π/14)
=0