![$\sin{1}=-\frac{1-\sqrt{3}i}{2\sqrt[3]{2\sqrt{\frac{2(9-\sqrt{5}-\sqrt{6(5+\sqrt{5})})}{4+\sqrt{7+\sqrt{5}+\sqrt{6(5+\sqrt{5})}}}-16}-2\sqrt{\frac{2(9-\sqrt{5}-\sqrt{6(5+\sqrt{5})})}{4+\sqrt{7+\sqrt{5}+\sqrt{6(5+\sqrt{5})}}}}}}-\frac{(\sqrt{3}i+1){\sqrt[3]{2 \sqrt{\frac{2(9-\sqrt{5}-\sqrt{6(5+\sqrt{5})})}{4+\sqrt{7+\sqrt{5}+\sqrt{6(5+\sqrt{5})}}}-16}-2\sqrt{\frac{2(9-\sqrt{5}-\sqrt{6(5+\sqrt{5})})}{4+\sqrt{7+\sqrt{5}+\sqrt{6(5+\sqrt{5})}}}}}}}{8}$](https://images.chesscomfiles.com/proxy/latex.artofproblemsolving.com/0/b/8/0b86a249255bb8a357798f1352895c9eab5a4dd2/https/d8513aee8d.png)
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Mittttens
Apr 13, 2025
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