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The value of \(2\sin 15° \cos 15°\) is:

  • A.1
  • B.1/2
  • C.√3/2
  • D.1/√2

Answer: B

This is the double-angle formula in reverse.

\[ 2\sin A\cos A = \sin 2A \]

\[ 2\sin 15^{\circ}\cos 15^{\circ} = \sin 30^{\circ} = \frac{1}{2} \]

Recognising the form avoids having to evaluate either 15° value.

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