A line makes the same angle \(\theta\) with each of \(X\) and \(Z\)axes. If the angle \(\beta\) which it makes with \(Y\) axis is such that \(\\sin^2\beta=3\sin^2\theta\) then \(\cos^2\theta=\)

\(\frac{2}{3}\) \(\frac{1}{5}\) \(\frac{3}{5}\) \(\frac{2}{5}\)

\(\frac{3}{5}\)

Using definition of direction cosine we have \(2\cos^2\theta+\cos^2\beta=1\)