Question

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

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

Hint:

Use the known values of trigonometric functions to simplify expressions like \( \tan^2 60^\circ \).

Answer 1

The Correct Option is C

We know that \( \tan 60^\circ = \sqrt{3} \), so: \[ \tan^2 60^\circ = (\sqrt{3})^2 = 3. \] Now: \[ 3 \tan^2 60^\circ = 3 \times 3 = 9. \] Thus, the value of \( 3 \tan^2 60^\circ \) is \( \boxed{9} \).