Question

If \(\cos \theta = \frac{1}{2}\), then the value of \(\tan 20^\circ\) is

• A. \(\frac{1}{\sqrt{3}}\)
• B. \(\sqrt{3}\)
• C. \(\frac{1}{\sqrt{2}}\)
• D. 1

Hint:

Use the identity \(\tan \theta = \frac{\sin \theta}{\cos \theta}\) to simplify trigonometric expressions.

Answer 1

The Correct Option is A

Using the trigonometric identity \(\tan \theta = \frac{\sin \theta}{\cos \theta}\), and substituting \(\cos 20^\circ = \frac{1}{2}\), we find that \(\tan 20^\circ = \frac{1}{\sqrt{3}}\).