Evaluate Tan (X + pi/4)

We have to evaluate Tan (X + π/4)

Solution

Tan (X + π/4) =

Using tan of Sum of 2 angles = Tan (A+ B) = (Tan A + Tan B) / (1 – Tan A TanB)
and Tan (π/4 ) =1

Tan (X + π/4) =Tan X + Tan π/4 / (1 – Tan X Tan π/4)

Tan (X + π/4) = Tan X +1 / 1 – Tan X

Answer

Tan (X + π/4) = Tan X +1 / 1 – Tan X

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