sin100°(1+根号三tan10°)=
问题描述:
sin100°(1+根号三tan10°)=
答
答:
sin100°(1+√3tan10°)
=sin100°[1+√3(sin10°/cos10°)]
=sin100°[(cos10°+√3sin10°)/cos10°]
=sin100°[2sin(30°+10°)/cos10°]
=(2sin80°sin40°)/cos10°
=(2cos10°sin40°)/cos10°
=2sin40°