[latex] frac{1-cos alpha }{sin alpha }cdot frac{1+cos alpha }{cos alpha } = tg alpha \ \ L= frac{1-cos alpha }{sin alpha }cdot frac{1+cos alpha }{cos alpha }= frac{1-cos^2alpha }{sin alphacdot cos alpha }= \ \ frac{sin^2alpha }{sin alphacdot cos alpha }= frac{sinalpha }{ cos alpha }=tgalpha=P[/latex] [latex]frac{1-sin alpha }{sin alpha }cdot frac{1+sin alpha }{cos alpha } = ctg alpha \ \ L=frac{1-sin alpha }{sin alpha } cdot frac{1+sin alpha }{cos alpha } = frac{1-sin^2 alpha }{sin alpha cdot cos alpha } = \ \ frac{cos^2 alpha }{sin alpha cdot cos alpha } = frac{cos alpha }{sin alpha} =ctgalpha=P[/latex]
Sprawdź podane tożsamości. a) [latex]frac{1 - sin alpha }{sin alpha} cdot frac{1 + sin alpha}{cos alpha} = ctg alpha [/latex] b) [latex]sin ^4 alpha - cos ^4 alpha = sin ^2 alpha - cos ^2 alpha [/latex]...
Sprawdź czy dla kąta ostrego alfa zachodzą następujące tożsamości a) [latex]ctg alpha + frac{sin alpha }{1+cos alpha } = frac{1}{sin alpha } [/latex] b) [latex](1+sin alpha)*( frac{1}{cos alpha } -tg alpha )=cos alpha [/latex]...
