cos40(1+√3tan190)
[诱导公式]
=sin50(1+√3tan10)
=sin50(1+√3sin10/cos10)
=sin50*(cos10+√3sin10)/cos10
=sin50*2sin(10+30)/cos10
=2sin50sin40/cos10
=2cos40sin40/sin80
=sin80/sin80
=1
cos40(1+√3tan190)
[诱导公式]
=sin50(1+√3tan10)
=sin50(1+√3sin10/cos10)
=sin50*(cos10+√3sin10)/cos10
=sin50*2sin(10+30)/cos10
=2sin50sin40/cos10
=2cos40sin40/sin80
=sin80/sin80
=1