Jeżeli sin alfa - cos alfa =1/2 to ile wynosi sin alfa * coś alfa

Rozwiazanie w zalaczniku. pozdro

[latex]sinalpha-cosalpha=frac12 /()^2\ (sinalpha-cosalpha)^2=frac14\ sin^2alpha-2sinalpha cosalpha+cos^2alpha=frac14\ sin^2alpha+cos^2alpha-2sinalpha cosalpha=frac14\ 1-2sinalpha cosalpha=frac14\ -2sinalpha cosalpha=frac14-1\ -2sinalpha cosalpha=-frac34 /cdot (-frac12)\ sinalpha cosalpha=frac38\ \ oxed{sinalpha cosalpha=frac38}[/latex]