Prove that 
As we know cos (x + y) = cos x cos y – sin x sin y
cos (x – y) = cos x cos y + sin x sin y
⇒ cos (x + y) + cos (x – y ) = 2 cos x cos y
So,


]

As we know cos(π -x) = - cos x

= 0
= RHS
Hence proved
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