« Valeurs trigonométriques exactes » : différence entre les versions

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| align="center" | <math>\frac{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt2}}}}2</math>
| align="center" | <math>\sqrt{4+2\sqrt2}\left(\sqrt{2+\sqrt{2+\sqrt2}}+1\right)+\sqrt2+1</math>
|-
| scope="row" | <math>\frac{\pi}{40}</math>
| align="center" | 4,5°
| align="center" | <math>\frac{\sqrt{2+\sqrt{2+\sqrt{\frac{5+\sqrt5}{2}}}}}2</math>
| align="center" | <math>\frac{ \sqrt{2-\sqrt{2+\sqrt{\frac{5+\sqrt5}{2}}}}}2</math>
| align="center" | <math></math>
|-
| scope="row" | <math>\frac{\pi}{48}</math>
| align="center" | 3,75°
| align="center" | <math>\frac{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt3}}}}2</math>
| align="center" | <math>\frac{\sqrt{2-\sqrt{2+\sqrt{2+\sqrt3}}}}2</math>
| align="center" | <math></math>
|-
| scope="row" | <math>\frac{\pi}{60}</math>
| align="center" | 3°
| align="center" | <math>\frac{2\left(1+\sqrt3\right)\sqrt{5+\sqrt5}+\left(\sqrt{10}-\sqrt2\right)\left(\sqrt3-1\right)}{16}</math>
| align="center" | <math>\frac{2\left(1-\sqrt3\right)\sqrt{5+\sqrt5}+\left(\sqrt{10}-\sqrt2\right)\left(\sqrt3+1\right)}{16}</math>
| align="center" | <math>\frac{\left(\left(2-\sqrt3\right)\left(3+\sqrt5\right)-2\right)\left(2-\sqrt{10-2\sqrt5}\right)}{4}</math>
|-
| scope="row" | <math>\frac{\pi}{64}</math>
| align="center" | 2,8125°
| align="center" | <math>\frac{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt2}}}}}2</math>
| align="center" | <math>\frac{\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{2+\sqrt2}}}}}2</math>
| align="center" | <math></math>
|-
| scope="row" | <math>\frac{\pi}{80}</math>
| align="center" | 2,25°
| align="center" | <math>\frac{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{\frac{5+\sqrt5}{2}}}}}}2</math>
| align="center" | <math>\frac{\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{\frac{5+\sqrt5}{2}}}}}}2</math>
| align="center" | <math></math>
|-
| scope="row" | <math>\frac{\pi}{96}</math>
| align="center" | 1,875°
| align="center" | <math>\frac{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt3}}}}}2</math>
| align="center" | <math>\frac{\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{2+\sqrt3}}}}}2</math>
| align="center" | <math></math>
|}
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