A line makes angles `alpha,beta,gamma`and `delta`with the diagonals of a cube, prove that `cos^2alpha+cos^2beta+cos^2gamma+cos^2delta=4/3`

A line makes angles alpha,beta,gamma and with the diagonals of a cube,prove that cos^(2)alpha+cos^(2)beta+cos^(2)gamma+cos^(2)delta=(4)/(3)

A line makes angles alpha,beta,gamma and delta with the diagonals of a cube.Show that cos^(2)alpha+cos^(2)beta+cos^(2)gamma+cos^(2)delta=4/3

If a line makes angles alpha, beta, gamma, delta with the diafonals of a cubes then the value of 9(cos 2alpha + cos 2beta + cos2gamma + cos 2delta)^(2) equals ….......

A line makes an angle alpha, beta, gamma, delta with the four diagonals of a cube, then sin^(2)alpha+sin^(2)beta+sin^(2)gamma+sin^(2)delta=

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that cos2alpha + cos 2beta + cos2gamma + 1 = 0 .