首页 > 留学知识库

问题: sin50(1 3^0.5tan10)=

单位是度,要过程,谢谢~

(用积化和差)

解答:

sin50(1+√3tan10)
=sin50[1+(√3sin10/cos10)]
=sin50[cos10+√3sin10)/cos10]
=2sin50[(1/2)cos10+(√3/2)sin10)/cos10]
=2sin50[cos60cos10+sin60sin10)/cos10]
=2sin50cos(60-10)/cos10
=2sin50cos50/cos10
=sin100/cos10
=cos10/cos10
=1