结果
Sin15°=sin(45°-30°)=sin45°cos30°-cos45°sin30°
=根号6/4-根号2/4
=(根号6-根号2
)/4
有什么不明白的可以继续追问,望采纳!
cos30°=1-2(sin15°)^2
(sin15°)^2 =(1/2)(1-cos30°)
=(1/2)(1-√3/2)
= (2-√3)/4
sin15° =√(2-√3)/2
= √2(√3-1)/4
---------------------------------
2-√3 = (1/2)(4-2√3)
=(1/2)(√3-1)^2
√(2-√3) = (√3-1)/√2 = √2(√3-1)/2