If a straight line makes angle \(\alpha,\beta,\gamma\) and \(\delta\) with the diagonals of a cube then \(\cos^2\alpha+\cos^2\beta+\cos^2\gamma+\cos^2\delta=\)

\(\frac{8}{3}\) \(\frac{5}{3}\) \(\frac{4}{3}\) 2

\(\frac{4}{3}\)

Calculate values of each cosine value