Zad.1 [latex]A=(-5,-12)[/latex] [latex]S= (-1,14)[/latex] [latex]B=(x_B,y_B)[/latex] Współrzędne środka odcinka AB [latex]S=left(frac{x_A+x_B}{2};frac{y_A+y_B}{2} ight)[/latex] [latex]left(frac{-5+x_B}{2};frac{-12+y_B}{2} ight)=(-1,14)[/latex] Obliczam [latex]x_B[/latex] [latex]frac{-5+x_B}{2}=-1 / cdot 2[/latex] [latex]-5+x_B=-2[/latex] [latex]x_B=-2+5[/latex] [latex]x_B=3[/latex] Obliczam [latex]y_B[/latex] [latex]frac{-12+y_B}{2}=14 / cdot 2[/latex] [latex]-12+y_B=28[/latex] [latex]y_B=28+12[/latex] [latex]y_B=40[/latex] [latex]B=(3,40)[/latex] ======================== Zad.2 [latex]tgalpha= -frac{3}{4}[/latex] [latex]alphain II cwiartka[/latex] [latex]frac{sinalpha}{cosalpha}=-frac{3}{4}[/latex] [latex]cosalpha= -frac{4}{3} sinalpha[/latex] Obliczam [latex]sinalpha[/latex] [latex]sin^2alpha+cos^2alpha=1[/latex] [latex]sin^2alpha+left(-frac{4}{3} sinalpa ight) ^2=1[/latex] [latex]sin^2alpha+ frac{16}{9}sin^2alpha=1[/latex] [latex]frac{25}{9}sin^2alpha=1 /: frac{25}{9}[/latex] [latex]sin^2alpha=frac{9}{25}[/latex] [latex]sinalpha= sqrt{frac{9}{25}}[/latex] [latex]sinalpha=frac{3}{5}[/latex] Obliczam [latex]cosalpha[/latex] [latex]cosalpha= -frac{4}{3} sinalpha[/latex] [latex]cosalpha= -frac{4}{3} cdot frac{3}{5}[/latex] [latex]cosalpha= -frac{4}{5}[/latex]
