f(x)=根号3sin²x/2+sinx-根号3+1的单增区间
问题描述:
f(x)=根号3sin²x/2+sinx-根号3+1的单增区间
是求f(x)=2倍根号3sin²x/2+sinx-根号3+1的单增区间
答
f(x)=2√3sin²(x/2)+sinx-√3+1
=√3(2sin²(x/2)-1)+sinx+1
=-√3cosx+sinx+1
=sinx-√3cosx+1
=2sin(x-π/3)+1
令-π/2+2kπ