sinπ/9=sin2π/18=cos(π/2-2π/18)=cos(9π/18-2π/18)=cos7π/18
原式=sin7π/18cos2π/9-cos7π/18sin2π/9 (利用两角差的公式可知)
=sin(7π/18-2π/9)
=sin(7π/18-4π/18)
=sin3π/18
=sinπ/6
=1/2
教你记公式的方法:
正余余正符号同,余余正正符号异
sinπ/9=sin2π/18=cos(π/2-2π/18)=cos(9π/18-2π/18)=cos7π/18
原式=sin7π/18cos2π/9-cos7π/18sin2π/9 (利用两角差的公式可知)
=sin(7π/18-2π/9)
=sin(7π/18-4π/18)
=sin3π/18
=sinπ/6
=1/2
教你记公式的方法:
正余余正符号同,余余正正符号异