Áp dụng [tex]sin^{2}x+cos^{2}x=1[/tex]:
[tex]a) A=sin^{2}75^{o}+sin^{2}65^{o}+sin^{2}55^{o}+cos^{2}45^{o}+cos^{2}55^{o}+cos^{2}75^{o}+cos^{2}75^{o}=3+cos^{2}45^{o}=3,5.[/tex]
[tex]b) B=cos^{2}80^{o}-cos^{2}70^{o}+sin^{2}30^{o}-cos^{2}50^{o}-sin^{2}50^{o}-sin^{2}70^{o}+sin^{2}80^{o}=sin^{2}30^{o}-1=-0,75.[/tex]