化简求值:sin50度[1+(根号3)tan10度]

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 18:29:24
化简求值:sin50度[1+(根号3)tan10度]

化简求值:sin50度[1+(根号3)tan10度]
化简求值:sin50度[1+(根号3)tan10度]

化简求值:sin50度[1+(根号3)tan10度]
sin50度[1+(根号3)tan10度]
=sin50(cos10+√3sin10)/cos10
=sin50*2sin(10+30)/cos10
=2sin50sin40/cos10
=2sin50cos50/cos10
=sin100/cos10
=sin80/cos10
=cos10/cos10
=1

sin50(1+√3tan10)
=sin50(cos10+√3sin10)/cos10
=sin50*2sin(10+30)/cos10
=2sin50sin40/cos10
=2sin50cos50/cos10
=sin100/cos10
=sin80/cos10
=cos10/cos10
=1