Question

If tan A = 3 cot A, then the measure of the angle A is :

• A. 15°
• B. 30°
• C. 45°
• D. 60°

Answer 1

Answer: (D)

60°

Answer 2

Given:
$\tan A = 3 \cot A \implies \tan A = 3 \times \frac{1}{\tan A}$
$\tan^2 A = 3 \implies \tan A = \sqrt{3}$
For $\tan A = \sqrt{3}$, the corresponding angle is:
$A = 60^\circ$