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| Řádka 1: |
Řádka 1: |
| | <font color="blue" size=5><b>Funkcia ATAN2(x;y)</b></font><br><br> | | <font color="blue" size=5><b>Funkcia ATAN2(x;y)</b></font><br><br> |
| - | <hr>
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| - |
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| - | <h4><font color="tomato">Čo je ATAN2</font></h4>
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| - | <p>Arkus tangens je cyklometrická funkcia. Ide o inverznú funkciu ku goniometrickej funkcii tangens.</p>
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| | <hr> | | <hr> |
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| Řádka 18: |
Řádka 14: |
| | <h4><font color="tomato">Príklad</font></h4> | | <h4><font color="tomato">Príklad</font></h4> |
| | Majme dané súradnice x=4 a y=2 viz obrázok:[[soubor:atan2wiki.png]] | | Majme dané súradnice x=4 a y=2 viz obrázok:[[soubor:atan2wiki.png]] |
| - | | + | <br> |
| | + | Potom uhol ß medzi priamkou P1 a osou X je: |
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| | <table border=1> | | <table border=1> |
| Řádka 26: |
Řádka 23: |
| | <td bgcolor="lightgrey">B</td> | | <td bgcolor="lightgrey">B</td> |
| | <td bgcolor="lightgrey">C</td> | | <td bgcolor="lightgrey">C</td> |
| | + | <td bgcolor="lightgrey">D</td> |
| | + | <td bgcolor="lightgrey">E</td> |
| | </tr> | | </tr> |
| | <tr> | | <tr> |
| Řádka 31: |
Řádka 30: |
| | <td width=60 align="center" bgcolor="aquamarine"><b>Súradnica x</b></td> | | <td width=60 align="center" bgcolor="aquamarine"><b>Súradnica x</b></td> |
| | <td width=120 align="center" bgcolor="aquamarine"><b>Súradnica y</b></td> | | <td width=120 align="center" bgcolor="aquamarine"><b>Súradnica y</b></td> |
| | + | <td width=60 align="center" bgcolor="aquamarine"><b>Vzorec</b></td> |
| | <td width=60 align="center" bgcolor="aquamarine"><b>Výsledok</b></td> | | <td width=60 align="center" bgcolor="aquamarine"><b>Výsledok</b></td> |
| | + | <td width=60 align="center" bgcolor="aquamarine"><b>Poznámka</b></td> |
| | </tr> | | </tr> |
| | <tr> | | <tr> |
| | <td align="center" bgcolor="lightgrey">2</td> | | <td align="center" bgcolor="lightgrey">2</td> |
| - | <td align="right">-100</td> | + | <td align="right">4</td> |
| - | <td>=ATAN(A2)</td> | + | <td align="right">2</td> |
| - | <td align="right">-1,5608</td> | + | <td>=ATAN2(A2;B2)</td> |
| | + | <td align="right">0,4636</td> |
| | + | <td align="left">Výsledok v radiánoch</td> |
| | </tr> | | </tr> |
| | <tr> | | <tr> |
| - | <td align="center" bgcolor="lightgrey">3</td> | + | <td align="center" bgcolor="lightgrey">2</td> |
| - | <td align="right">0</td> | + | <td align="right">4</td> |
| - | <td>=ATAN(A3)</td>
| + | <td align="right">2</td> |
| - | <td align="right">0</td> | + | <td>=DEGREES(ATAN2(A2;B2))</td> |
| - | </tr>
| + | <td align="right">26.5651</td> |
| - | <tr>
| + | <td align="left">Výsledok v stupňoch</td> |
| - | <td align="center" bgcolor="lightgrey">4</td> | + | |
| - | <td align="right">100</td> | + | |
| - | <td>=ATAN(A4)</td>
| + | |
| - | <td align="right">1,5608</td> | + | |
| - | </tr>
| + | |
| | </table> | | </table> |
| | <br> | | <br> |
| | + | Presnejšie by to bolo <b>26° 32´ 21,77´´</b> |
| | <hr> | | <hr> |
| | <h4><font color="tomato">Odkazy</font></h4> | | <h4><font color="tomato">Odkazy</font></h4> |
Vráti arkus tangens zadaných súradníc (v radiánoch), to znamená uhol, medzi vodorovnou osou X a priamkou prechádzajúcou bodmi (0,0) a (x,y).
