# Prove the following identities:

Proof:

Take LHS:

Identities used:

cos 2x = 2 cos2 x – 1

2 cos2 x = 1 + cos 2x

Therefore,

{ cos (π – θ) = - cos θ, cos (π + θ) = - cos θ & cos(2π – θ) = cos θ}

= 2

= RHS

Hence Proved

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