在教辅助角公式:要使sinA-根号3 cosA=(4m-6)/(4-m)有意义,求m取值范围?
问题描述:
在教辅助角公式:要使sinA-根号3 cosA=(4m-6)/(4-m)有意义,求m取值范围?
答
sinA-根号3 cosA=(4m-6)/(4-m)1/2sinA-√3/2cosA=(2m-3)(4-m)sin(A-60°)=(2m-3)/(4-m)-1≤sin(A-60°)≤1-1≤(2m-3)/(4-m)≤1(1) (2m-3)/(4-m)+1≥0(m+1)/(m-4)≤0 -1≤m≤4(2)(2m-3)/(4-m)-1≤0(3m-7)/(m-4)≥...