Question

If tan⁴ A − 1 = 0 and angle A is acute, then A is ______.

Options

• 30°

• 45°

• ± 45°

• ± 30°

Answer 1

If tan⁴ A − 1 = 0 and angle A is acute, then A is 45°.

Explanation:

Given tan⁴ A − 1 = 0

tan⁴ A = 1

tan² A = 1

tan A = 1(since angle A is acute, tan A must be positive).

Since tan 45° = 1, the measure of angle A is 45°.