1.Wyrażenie [latex] frac{a-b}{ sqrt{a}- sqrt{b} } [/latex] jest równe? 2.Przekształcając wyrażenie [latex] frac{1}{tg alpha } + frac{sin alpha }{1+cos alpha } [/latex] otrzymamy?

[latex]frac{a-b}{sqrt{a}-sqrt{b}}=frac{a-b}{sqrt{a}-sqrt{b}}cdotfrac{sqrt{a}+{sqrt{b}}}{sqrt{a}+sqrt{b}}=frac{(a-b)(sqrt{a}+{sqrt{b})}}{a-b}=sqrt{a}-sqrt{b}\ [/latex] [latex]frac{1}{tgalpha}+frac{sinalpha}{1+cosalpha}=frac{cosalpha}{sinalpha}+frac{sinalpha}{1+cosalpha}=frac{cosalpha(1+cosalpha)}{sinalpha(1+cosalpha)}+frac{sinalphacdot sinalpha}{sinalpha(1+cosalpha)}=\ =frac{cosalpha+cosalpha^2+sin^2alpha}{sinalpha(1+cosalpha)}=frac{1+cosalpha}{sinalpha(1+cosalpha)}=frac{1}{sinalpha}[/latex]