Answer :

We know that I

Now, LHS = I + A

=

And on RHS = (I – A)

As we know,

cos 2θ = 1 - 2 sin^{2} θ

cos θ = 2 cos^{2} θ - 1

and sin2θ = 2 sinθ cosθ

As tanθ = sinθ/cosθ

=

= LHS

Hence Proved.

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