|sin165°|*cos15°-sin225°*|sin195°|的值

1个回答

  • |sin165°|*cos15°-sin225°*|sin195°|

    =cos15°*cos15°+sin45°*sin15°

    =1/2cos30°+1/2+sin45°*sin(30/2)°

    (半角公式:sin²(α/2)=(1-cosα)/2 )

    =1/2cos30°+1/2+sin45°*√((1-cos30°)/2)

    =√3/4+1/2+√((2-√3)/8)

    =3/4

    tan120°

    =tan(33+87)°

    =(tan33°+tan87°)/(1-tan33*tan87°)

    =-√3

    √3*tan33°*tan87°-tan33°-tan87°

    =√3