(ITA - 2006 - 1a fase)O conjunto soluo de :
(ITA - 2006 - 1a fase)
O conjunto solução de \(\left (\tan^{2}x - 1 \right )\left(1 - \cot^{2}x \right ) = 4, x \neq \frac{k\pi}{2}, k\in \mathbb{Z}\) é:
A
\(\left \{ \frac{\pi}{3} + \frac{k\pi}{4}, k \in \mathbb{Z} \right \}\)
B
\(\left \{ \frac{\pi}{4} + \frac{k\pi}{4}, k \in \mathbb{Z} \right \}\)
C
\(\left \{ \frac{\pi}{6} + \frac{k\pi}{4}, k \in \mathbb{Z} \right \}\)
D
\(\left \{ \frac{\pi}{8} + \frac{k\pi}{4}, k \in \mathbb{Z} \right \}\)
E
\(\left \{ \frac{\pi}{12} + \frac{k\pi}{4}, k \in \mathbb{Z} \right \}\)
