sin50°（1+根号3tan10°）求值、

sin50°（1+根号3tan10°）
= sin50°（cos10°+根号3sin10°) / cos10°
= sin50° * 2（cos60°cos10°+sin60°sin10°) / cos10°
= sin50° * 2 cos(60°-10°) / cos10°
= 2 sin50°cos50° / cos10°
= sin100° / cos10°
= sin(180°-80°） / cos10°
= sin80° / cos10°
= sin（90°-10°） / cos10°
= cos10° / cos10°
=1