Question

Solve $\sqrt{3}\sec 2\theta =2$

Answer 1

Simplifying $\sqrt{3}\sec 2\theta =2$.

$\sqrt{3}\sec 2\theta =2$

$\frac{\sqrt{3}}{2}=\frac{1}{\sec 2\theta }$

$\frac{\sqrt{3}}{2}=\cos 2\theta$

$2\theta ={\cos }^{-1}\left(\frac{\sqrt{3}}{2}\right)$

$2\theta =\frac{\pi }{6}$

$\theta =2n\pi +\frac{\pi }{12}$