Question

\(\frac{\sin 18^\circ}{\cos 72^\circ}=\)

• A. 1
• B. \(\frac{1}{4}\)
• C. 0
• D. \(\infin\)

Answer 1

The Correct Option is A

Correct answer: 1

Explanation:
We know that: \[ \cos 72^\circ = \sin 18^\circ \] So: \[ \frac{\sin 18^\circ}{\cos 72^\circ} = \frac{\sin 18^\circ}{\sin 18^\circ} = 1 \]

Hence, \( \frac{\sin 18^\circ}{\cos 72^\circ} = {1} \).