化简(2sin50°+sin10°)/cos10°
问题描述:
化简(2sin50°+sin10°)/cos10°
答
(2sin50°+sin10°)/cos10°
=[2sin(60°-10°)+sin10°]/cos10°
=[2sin60°cos10°-cos60°sin10°+sin10°]/cos10°
=[√3cos10°-sin10°+sin10°]/cos10°
=√3cos10°/cos10°
=√3