« Valeurs trigonométriques exactes » : différence entre les versions

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rédaction
Ligne 210 :
| align="center" | <math>\frac{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt2}}}}2</math>
| 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{3\pi}{32}</math>
Ligne 216 :
| align="center" | <math>\frac{\sqrt{2+\sqrt{2+\sqrt{2-\sqrt2}}}}2</math>
| 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{5\pi}{32}</math>
Ligne 222 :
| align="center" | <math>\frac{\sqrt{2+\sqrt{2-\sqrt{2-\sqrt2}}}}2</math>
| 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{7\pi}{32}</math>
Ligne 228 :
| align="center" | <math>\frac{\sqrt{2+\sqrt{2-\sqrt{2+\sqrt2}}}}2</math>
| 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{9\pi}{32}</math>
Ligne 234 :
| align="center" | <math>\frac{\sqrt{2-\sqrt{2-\sqrt{2+\sqrt2}}}}2</math>
| 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{11\pi}{32}</math>
Ligne 240 :
| align="center" | <math>\frac{\sqrt{2-\sqrt{2-\sqrt{2-\sqrt2}}}}2</math>
| 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{13\pi}{32}</math>
Ligne 246 :
| align="center" | <math>\frac{\sqrt{2-\sqrt{2+\sqrt{2-\sqrt2}}}}2</math>
| 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{15\pi}{32}</math>
Ligne 252 :
| align="center" | <math>\frac{\sqrt{2-\sqrt{2+\sqrt{2+\sqrt2}}}}2</math>
| 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>
|}
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