Question

If tan `3A - sqrt3` = 0 and 0 ≤ 3A ≤ 90°; the measure of angle A is ______.

Options

• 15°

• 20°

• 30°

• 10°

Answer 1

If tan `3A - sqrt3` = 0 and 0 ≤ 3A ≤ 90°; the measure of angle A is 20°.

Explanation:

Given \[\tan 3A - \sqrt{3} = 0\], we have \[\tan 3A = \sqrt{3}\]. Since \[\tan 60^\circ = \sqrt{3}\], we get 3A = 60°, which gives \[A = \frac{60^\circ}{3} = 20^\circ\].