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The value of \(\frac{\sin 18°}{\cos 72°}\) is:

  • A.0
  • B.1
  • C.Tan 18°
  • D.Cot 72°

Answer: B

Use the complementary-angle identity \( \cos(90^{\circ} - \theta) = \sin\theta \).

\[ \cos 72^{\circ} = \cos(90^{\circ} - 18^{\circ}) = \sin 18^{\circ} \]

\[ \frac{\sin 18^{\circ}}{\sin 18^{\circ}} = 1 \]

Neither value has to be computed - only recognised as equal.

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