If \(f(\theta )={\sin }^{4}\theta +{\cos }^{2}\theta\), then range of \(f(\theta )\) is

\(\left[\frac{1}{2},1\right]\)

\(\left[\frac{1}{2},\frac{3}{4}\right]\)

\(\left[\frac{3}{4},1\right]\)

None of these