Question

If $2{\tan }^2\theta ={\sec }^2\theta$, then the general value of $\theta$ is -

Answer 1

$2{\tan }^2\theta ={\text{sec}}^2\theta ⟹2{\tan }^2\theta ={\tan }^2\theta +1⟹{\tan }^2\theta =1⟹\theta =n\pi \pm \frac{\pi }{4}$