sin5/3π=,cos5/3π

sin5/3π=,cos5/3π


sin5/3π
=sin(π+2/3π)
=-sin2/3π
=-√3/2
cos5/3π
=cos(π+2/3π)
=-cos2/3π
=1/2



(2cos55-(√3)sin5)/cos5


原式=[2cos(60-5)-√3sin5)]/cos5
=[2(1/2cos5+√3/2sin5)-√3sin5]/cos5
=(cos5+√3sin5-√3sin5)/cos5
=cos5/cos5
=1



cos5/6π=?sin5/6π=?


cos5/6π=cos(π-π/6)=-cos(π/6)=-√3/2
sin5/6π=sin(π-π/6)=sin(π/6)=1/2