If tan ( π/4 + θ) + tan (π /4 − θ) = p sec 2θ, then find the value of p.

Question

If tan \(\bigg(\frac{π}{4}+θ\bigg)\) + tan \(\bigg(\frac{π}{4}-θ\bigg)\) = p sec 2θ, then find the value of p.

Answer 1

 tan \(\bigg(\frac{π}{4}+θ\bigg)\) + tan \(\bigg(\frac{π}{4}-θ\bigg)\) = p sec 2θ

⇒ 2 sec 2θ = p sec 2θ ⇒ p = 2.