Oblicz wartosc wyrazenia wiedzac ze alfa jest kątem ostrym (Sin alfa +cos alfa )^2 + (sin alfa -cos alfa )^2 Zadanie nr 2 Uprosc wyrazenie Sin^4 alfa + cos ^2 alfa - cos ^4 alfa

[latex](sinalpha +cosalpha )^2 + (sinalpha -cosalpha)^2= \ \ sin^2alpha +2sinalpha cosalpha+cos^2alpha + sin^2alpha -2sinalpha cosalpha+cos^2alpha=1+1=2[/latex] ======================= [latex]sin^4alpha + cos ^2alpha- cos ^4alpha= \ \ (sin^4alpha- cos ^4alpha) + cos ^2alpha= \ \ (sin^2alpha- cos ^2alpha)(sin^2alpha+cos ^2alpha) + cos ^2alpha= \ \ sin^2alpha- cos ^2alpha + cos ^2alpha=sin^2alpha[/latex]