Question

\[ \frac{1}{2 \sin 10^\circ} - 2 \sin 70^\circ \text{ is equal to} \]

• A. 0
• B. \(\frac{1}{2\sqrt{2}}\)
• C. \(\sqrt{2}\)
• D. 1

Answer 1

The Correct Option is D

Note: \(\sin 70^\circ = \cos 20^\circ\) and \(\sin 10^\circ = \cos 80^\circ\) Try evaluating numerically: \[ \frac{1}{2 \cdot \sin 10^\circ} \approx \frac{1}{2 \cdot 0.1736} \approx 2.88,\quad 2 \sin 70^\circ \approx 2 \cdot 0.9397 \approx 1.88 \] \[ 2.88 - 1.88 = 1 \] So result ≈ 1.