Question

Evaluate \( 3 \tan^2 60^\circ \):

• A. \( 3 \)
• B. \( 1 \)
• C. \( 9 \)
• D. \( \frac{1}{3} \)

Hint:

For reference: \[ \tan 30^\circ = \frac{1}{\sqrt{3}}, \quad \tan 45^\circ = 1, \quad \tan 60^\circ = \sqrt{3}. \]

Answer 1

The Correct Option is C

Using the identity:
\[ \tan 60^\circ = \sqrt{3} \] \[ \tan^2 60^\circ = (\sqrt{3})^2 = 3 \] \[ 3 \tan^2 60^\circ = 3 \times 3 = \]