sin50°(1+根号3tan10°)求值、

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 03:28:31
sin50°(1+根号3tan10°)求值、

sin50°(1+根号3tan10°)求值、
sin50°(1+根号3tan10°)求值、

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