Zapisz w najprostszej postaci: [latex]frac{sin^{3}alpha}{ cosalpha - cos^{3}alpha } [/latex]

[latex]\frac{sin^3alpha}{cosalpha-cos^3alpha}=frac{sin^3alpha}{cosalpha(1-cos^2alpha)}= \. \frac{sin^3alpha}{cosalpha*sin^2alpha}=frac{sinalpha}{cosalpha}=tgalpha[/latex]

[latex]WARUNEK \ cosalpha-cos^3alpha eq 0 \ frac{sin^3alpha}{cosalpha-cos^3alpha}= frac{sin^3alpha}{cosalpha(1-cos^2alpha)}= frac{sin^3alpha}{cosalpha* sin^2alpha}= frac{sinalpha}{cosalpha} =tgalpha [/latex]