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A straight line L makes angles alpha, be...

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

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Statement -I : A line makes the same angle theta with each of the x and z-axis. If it makes an angle alpha with the y-axis, such that sin^(2) alpha=3 sin^(2) theta , then cos^(2) theta=3/5 . Statement -II : If a line with direction ratios, l, m, n makes angles alpha, beta, gamma respectively with x, y amd z-axis then cos alpha=(l)/sqrt(l^(2)+m^(2)+n^(2)), cos beta =(m)/sqrt(l^(2)+m^(2)+n^(2)) and cos gamma =(n)/sqrt(l^(2)+m^(2)+n^(2)) .