sin50度(1+根号3tan10度=?

发布时间:2021-02-27 11:31:07

sin50度(1+根号3tan10度=?

网友回答

原式=sin50°*[1+根号3(sin10°/cos10°)]
=sin50°*[(cos10°+根号3sin10°)/cos10°]
=sin50°*[2sin(30°+10°)/cos10°]
=(2sin50°*sin40°)/cos10°
=(2cos40°*sin40°)/cos10°
=sin80°/cos10°
=cos10°/cos10°
=1
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