1. Sprawdz czy podana rownosc jest tozsamoscia  sinL+cosL/sinL = ctgL(1+tgL) L oznacza alpha 2. Wiedzac ze tgL=3 , oblicz 2inL+cosL/sinL-cosL

1. [latex]L=frac{sinalpha+cosalpha}{sinalpha}=1+frac{cosalpha}{sinalpha}=1+ctgalpha\P=ctgalpha(1+tgalpha)=ctgalpha+ctgalphacdot tgalpha=ctgalpha+1[/latex] [latex]L=P[/latex] 2. [latex]tgalpha=3\frac{sinalpha}{cosalpha}=3\sinalpha=3cosalpha[/latex] [latex]frac{sinalpha+cosalpha}{sinalpha-cosalpha}=frac{3cosalpha+cosalpha}{3cosalpha-cosalpha}=frac{4cosalpha}{2cosalpha}=frac{4}{2}=2[/latex]