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Mathematics

If tan4 A - 1 = 0 and angle A is acute, then A is :

  1. 30°

  2. 45°

  3. ± 45°

  4. ± 30°

Trigonometric Identities

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Answer

tan4 A - 1 = 0

⇒ tan4A = 1

⇒ (tan A)4 = 1

⇒ tan A = tan 45°

⇒ A = 45°

Hence, option 2 is the correct option.

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