If a line in the space makes angle α , β and γ with the coordinate axes, then cos 2 α + cos 2 β + cos 2 γ + sin 2 α + sin 2 β + sin 2 γ equals

Question

If a line in the space makes angle α , β and γ with the coordinate axes, then cos 2 α + cos 2 β + cos 2 γ + sin 2 α ​ + sin 2 β + sin 2 γ equals ​, -1, 0, 1, 2

MARKS App · Accepted Answer

​ cos 2 α + cos 2 β + cos 2 γ + sin 2 α + sin 2 β + sin 2 γ = ( cos 2 α − sin 2 α ) + ( cos 2 β − sin 2 β ) + ( cos 2 γ − sin 2 γ ) + sin 2 α + sin 2 β + sin 2 γ = cos 2 α + cos 2 β + cos 2 γ = 1 ​

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