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Question Number 190185 by mnjuly1970 last updated on 29/Mar/23

$$$$$$\mathrm{In}\mathrm{A}\stackrel{\mathrm{\Delta }}{\mathrm{B}C}:$$$$$$$$\mathrm{If},\sin \left(\hat{\mathrm{A}}\right)=\frac{1}{2\sqrt{2+\sqrt{3}}}\Rightarrow \hat{\mathrm{A}}=?$$$$$$

Commented by Frix last updated on 29/Mar/23

$$\frac{1}{2\sqrt{2+\sqrt{3}}}=\frac{\sqrt{2-\sqrt{3}}}{2}=\frac{\sqrt{6}}{2}-\frac{\sqrt{3}}{2}=\sin \frac{\pi }{12}$$

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