Question

If $\sec ^{2} \theta=\frac{4}{3}$, then the general value of $\theta$ is

• A. $2 n \pi \pm \frac{\pi}{6}$
• B. $n \pi \pm \frac{\pi}{6}$
• C. $2 n \pi \pm \frac{\pi}{3}$
• D. $n \pi \pm \frac{\pi}{3}$

Answer 1

Answer: (B)

We have $\sec ^{2} \theta=\frac{4}{3} $
$\Rightarrow \cos ^{2} \theta=\frac{3}{4}$
$\Rightarrow \cos ^{2} \theta=\cos ^{2}\left(\frac{\pi}{6}\right)$
$\Rightarrow \theta= n \pi \pm \frac{\pi}{6} \ldots \ldots \ldots$