高一三角函数化简题
问题描述:
高一三角函数化简题
(1+sinθ+cosθ)×(sin(θ/2)-cos(θ/2))
——————————————————
根号下(2+2cosθ)
由于等级不够,不能上图所以大家体谅下哈.中间是分数线
答
1+sinθ+cosθ=sin²(θ/2)+cos²(θ/2)+2sin(θ/2)cos(θ/2)+cos²(θ/2)-sin(θ/2)=[sin(θ/2)+cos(θ/2)]²+[sin(θ/2)+cos(θ/2)][cos(θ/2)-sin(θ/2)]=[sin(θ/2)+cos(θ/2)][sin(θ/2)+cos(...