[2sin50+sin10(1+根号3tan10)]×根号(2sin²80)
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/10 10:08:42
![[2sin50+sin10(1+根号3tan10)]×根号(2sin²80)](/uploads/image/z/1344798-54-8.jpg?t=%5B2sin50%2Bsin10%281%2B%E6%A0%B9%E5%8F%B73tan10%EF%BC%89%5D%C3%97%E6%A0%B9%E5%8F%B7%EF%BC%882sin%26sup2%3B80%EF%BC%89)
x)6*35|ڿݸ$}3t= jťF )"}JPC 4Q,C4cՔ-̬bR
`lF(h+@ܐ_lh 6 RoanT(`f 10sh"[T:Ta@~qAb(hw
[2sin50+sin10(1+根号3tan10)]×根号(2sin²80)
[2sin50+sin10(1+根号3tan10)]×根号(2sin²80)
[2sin50+sin10(1+根号3tan10)]×根号(2sin²80)
[2sin50°+sin10°(1+√3tan10°)]•√(2sin²80°)
= [2sin50 + sin10(cos10+√3sin10)/cos10]•√2sin80
= [2sin50cos10+2sin10(cos60cos10+sin60sin10)•√2sin80/cos10
= 2[sin50cos10 + sin10cos(60-10)]•√2
= 2sin(50+10)•√2
= √6