prosze o rozwiazanie zadania w załaczniku - trygonometria sprawdź tożsamości
prosze o rozwiazanie zadania w załaczniku - trygonometria
sprawdź tożsamości
[latex](frac{1}{sinalpha}+frac{1}{cosalpha})cdot(sinalpha+cosalpha)=2+frac{1}{sinalpha cosalpha}\\L=frac{sinalpha}{sinalpha}+frac{cosalpha}{sinalpha}+frac{sinalpha}{cosalpha}+frac{cosalpha}{cosalpha}=1+1+frac{cos^2alpha+sin^2alpha}{sinalpha cosalpha}=2+frac{1}{sinalpha cosalpha}\\P=2+frac{1}{sinalpha cosalpha}\\L=P[/latex] [latex]frac{1-cosalpha}{sinalpha}cdotfrac{1+cosalpha}{cosalpha}=tgalpha\\L=frac{1-cos^2alpha}{sinalpha cosalpha}=frac{sin^2alpha}{sinalpha cosalpha}=frac{sinalpha}{cosalpha}=tgalpha\\P=tgalpha\\L=P\\\©DRK[/latex]