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| <!DOCTYPE html> | ||
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| <html lang="pl" data-content_root="../../../"> | ||
| <head> | ||
| <meta charset="utf-8" /> | ||
| <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" /> | ||
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| <title><no title> — Matematyka - dokumentacja</title> | ||
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| <script>window.MathJax = {"options": {"processHtmlClass": "tex2jax_process|mathjax_process|math|output_area"}}</script> | ||
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| <link rel="search" title="Szukaj" href="../../../search.html" /> | ||
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| </head><body> | ||
| <div class="relbar-top"> | ||
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| <div class="related" role="navigation" aria-label="related navigation"> | ||
| <h3>Nawigacja</h3> | ||
| <ul> | ||
| <li class="right" style="margin-right: 10px"> | ||
| <a href="../../../genindex.html" title="Indeks ogólny" | ||
| accesskey="I">indeks</a></li> | ||
| <li><a href="../../../index.html">Matematyka - dokumentacja</a> »</li> | ||
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| <li class="nav-item nav-item-this"><a href=""><no title></a></li> | ||
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| <ul class="simple"> | ||
| <li><p>Podstawienia dla funkcji niewymiernych:</p></li> | ||
| </ul> | ||
| <table class="docutils align-default"> | ||
| <thead> | ||
| <tr class="row-odd"><th class="head"><p>typ funkcji</p></th> | ||
| <th class="head"><p>podstawienie za x</p></th> | ||
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| </thead> | ||
| <tbody> | ||
| <tr class="row-even"><td><p><span class="math notranslate nohighlight">\(R(x, \sqrt{a^2 - x^2})\)</span></p></td> | ||
| <td><p><span class="math notranslate nohighlight">\(a * sin~t\)</span></p></td> | ||
| </tr> | ||
| <tr class="row-odd"><td><p><span class="math notranslate nohighlight">\(R(x, \sqrt{a^2 + x^2})\)</span></p></td> | ||
| <td><p><span class="math notranslate nohighlight">\(a * tg~t\)</span></p></td> | ||
| </tr> | ||
| <tr class="row-even"><td><p><span class="math notranslate nohighlight">\(R(x, \sqrt{x^2 - a^2})\)</span></p></td> | ||
| <td><p><span class="math notranslate nohighlight">\(\frac{a}{cos~t}\)</span></p></td> | ||
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| <div class="admonition tip"> | ||
| <p class="admonition-title">Wskazówka</p> | ||
| <p>Najważniejsze wzory dla funkcji cyklometrycznych</p> | ||
| <div class="math notranslate nohighlight"> | ||
| \[\begin{split} | ||
| sinh~x = \frac{e^x - e^{-x}}{2} \\ | ||
| cosh~x = \frac{e^x + e^{-x}}{2} \\ | ||
| \\ | ||
| sinh~2x = 2*sinh~x * cosh~x \\ | ||
| cosh~2x = sinh^2 x + cosh^2x \\ | ||
| 1 = cosh~x - sinh~1 | ||
| \end{split}\]</div> | ||
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| <div class="related" role="navigation" aria-label="related navigation"> | ||
| <h3>Nawigacja</h3> | ||
| <ul> | ||
| <li class="right" style="margin-right: 10px"> | ||
| <a href="../../../genindex.html" title="Indeks ogólny" | ||
| >indeks</a></li> | ||
| <li><a href="../../../index.html">Matematyka - dokumentacja</a> »</li> | ||
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| <li class="nav-item nav-item-this"><a href=""><no title></a></li> | ||
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| © Copyright 2023, Maciej Szeptuch. | ||
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| </body> | ||
| </html> |
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