sin18分之派乘sin18分之5派乘sin负18分
1个回答

=sin(π/18)sin(5π/18)sin(-65π/18)

=sin(π/18)sin(5π/18)sin(11π/18)

=sin(π/18)sin(5π/18)sin(7π/18)

=sin(π/18)cos(2π/9)cos(π/9)

=[8cos(π/18)×sin(π/18)×cos(π/9)×cos(2π/9)]/[8cos(π/18)]

=[4sin(π/9)×cos(π/9)×cos(2π/9)]/[8cos(π/18)]

=[sin(4π/9)]/[8cos(π/18)]

=[sin(4π/9)]/[8sin(4π/9)]

=1/8