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Question -

tan (π/4 + x) + tan (π/4 – x) = 2sec 2x



Answer -

Let us consider LHS:

tan (π/4 + x) + tan (π/4 – x)

We know,

tan (A+B) = (tan A + tan B)/(1- tan A tan B)

tan (A-B) = (tan A – tan B)/(1+ tan A tan B)

So,

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