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The expression $\cos^{2} (α + β) + \cos^{2} (α - β) - \cos 2 α \cos 2 β,$ is

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independent of $α$ and $β$

dependent on $α$ and $β$

$- 1$

answer is C.

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Detailed Solution

$\cos^{2} (α + β) + \cos^{2} (α - β) - \cos 2 α \cos 2 β$

$= \cos^{2} (α + β) + 1 - \sin^{2} (α - β) - \cos 2 α \cos 2 β$

$= 1 + \cos 2 α \cos 2 β - \cos 2 α \cos 2 β = 1$

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