If \( \sin 2 A=2 \sin A \cos A \) and \( \sin 20^{\circ}=K \), then the value of \( \cos 20^{\ci...
If \( \sin 2 A=2 \sin A \cos A \) and \( \sin 20^{\circ}=K \), then the value of \( \cos 20^{\circ} \cdot \cos 40^{\circ} \cdot \cos 80^{\circ} \cdot \cos 160^{\circ}= \)
(a) \( K \)
(b) \( -\sqrt{1-K^{2}} \)
(c) \( \frac{\sqrt{1-K^{2}}}{8} \)
(d) \( -\frac{\sqrt{1-K^{2}}}{8} \)
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