All values of θ in the interval (-π/2, π/2) satisfying (1 – tanθ)(1 + tanθ)sec^2θ + 2^tan^2θ = 0

Question

All values of θ in the interval \((\frac{-\pi}2, \frac \pi2)\) satisfying (1 – tanθ)(1 + tanθ)sec²θ + \(2^{tan^2\theta}\) = 0

(a) \(\frac \pi3\)

(b) \(\frac {-\pi}3\)

(c) 0

(d) None of these.

Answer 1

Correct options are (a) & (b).