Question

If \( \tan\theta+\sec\theta=\sqrt{3} \), then the principal value of \( \theta \) in \( [0,2\pi] \) is

• A. \( \frac{\pi}{4} \)
• B. \( \frac{\pi}{6} \)
• C. \( \frac{\pi}{2} \)
• D. \( \frac{2\pi}{3} \)

Hint:

For equations involving \(\tan\theta+\sec\theta\), always check standard angles like \(30^\circ,45^\circ,60^\circ\).

Answer 1

The Correct Option is B