If 3tan2 A - 1 = 0 and angle A is acute, the measure of angle A is : 1. 20° 2. 45° 3. 60° 4. 30°

3tan2 A - 1 = 0 ⇒ 3tan2 A = 1 ⇒ tan2 A = ⇒ tan A = ⇒ tan A = ⇒ tan A = tan 30° ⇒ A = 30° Hence, option 4 is the correct option.

If tan⁴ A - 1 = 0 and angle A is acute, then A is :
30°
45°
± 45°
± 30°