f(x)=2sin(2x-pai/3)+1
问题描述:
f(x)=2sin(2x-pai/3)+1
求f(x)>0的集合
f(x)在[0,pai]上的递增区间和递减区间
答
sin(2x-π/3)>-1/2=sin(2kπ-π/6)=sin(2kπ+7π/6)
所以2kπ-π/62kπ+π/6kπ+π/12
所以-π/3-π/300
减区间(5π/6,11π/12)