化简求值:sin50度[1+(根号3)tan10度]
问题描述:
化简求值:sin50度[1+(根号3)tan10度]
答
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