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What is the value of \(\frac{2\tan 30°}{1 - \tan^2 30°}\)?

  • A.\(\tan 60°\)
  • B.\(\sin 60°\)
  • C.\(\cos 60°\)
  • D.\(\cot 60°\)

Answer: A

This expression is the double-angle identity for tangent: \(\tan(2A) = \frac{2\tan A}{1 - \tan^2 A}\).

Here, A = 30°.

The expression is equal to \(\tan(2 \times 30°) = \tan 60°\).

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