求值:4sin20°+tan20°=_.
问题描述:
求值:4sin20°+tan20°=______.
答
4sin20°+tan20°=4sin20°+
=sin20° cos20°
sin20°+4sin20°cos20° cos20°
=
=(sin20°+sin40°)+sin40° cos20°
2sin30°cos10°+sin40° cos20°
=
=cos10°+cos50° cos20°
=2cos30°cos20° cos20°
.
3
故答案为:
3