求值域:y=cosx平方+sinx(-π/4≦x≦π/4)
问题描述:
求值域:y=cosx平方+sinx(-π/4≦x≦π/4)
答
y=cos²x+sinx
=1-sin²x+sinx
令sinx=t(-1/√2≤t≤1/√2)
5/4≤f(x)≤(1/√2)+(1/2)