1.

If \[\sin {{18}^{0}}=\frac{\sqrt{5}-1}{4},\] then what is the value of \[\sin 18{}^\circ \]?

A. \[\frac{\sqrt{3+\sqrt{5}}+\sqrt{5-\sqrt{5}}}{4}\]
B. \[\frac{\sqrt{3+\sqrt{5}}+\sqrt{5+\sqrt{5}}}{4}\]
C. \[\frac{\sqrt{3-\sqrt{5}}+\sqrt{5-\sqrt{5}}}{4}\]
D. \[\frac{\sqrt{3+\sqrt{5}}-\sqrt{5-\sqrt{5}}}{4}\]
Answer» B. \[\frac{\sqrt{3+\sqrt{5}}+\sqrt{5+\sqrt{5}}}{4}\]


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