Wyrażenie W=(sin60-sin45)(sin60+sin45) A. -1/4 B.0 C. 1/4 D.3/2

[latex](sin 60^0-sin45^0)(sin60^0+sin45^0)=sin^260^0-sin^245^0=\ =(frac{sqrt{3}}{2})^2-(frac{sqrt{2}}{2})^2=frac{3}{4}-frac{2}{4}=frac{1}{4}[/latex]

[latex]sin60^{o}= frac{sqrt{3}}{2}\sin45^{o} = frac{sqrt{3}}{2}\\W =( sin60^{o}-sin45^{o})(sin60^o}+sin45^{o}) = sin^{2}60^o}-siin^{2}45^{o}=\\=(frac{sqrt{3}}{2})^{2}-(frac{sqrt{2}}2)^{2} = frac{3}{4}-frac{2}{4}=frac{1}4\\Odp. C.[/latex]