已知函数f(x)=sin^2x+2倍根号下3sinxcosx+3cos^2x.求函数的单调递增区间
问题描述:
已知函数f(x)=sin^2x+2倍根号下3sinxcosx+3cos^2x.求函数的单调递增区间
答
f(x)=sin^2x+2√3sinxcosx+3cos^2x
=(sinx+√3cosx)^2
=[sin(π/6+x)]^2
2kπ