Doprowadź do najprostszej postaci wyrażenie  [latex] frac{1}{ctg alpha } + frac{cos alpha }{1+sin alpha } - frac{1}{cos alpha } [/latex] !!

[latex]frac{1}{frac{sin(1+sin)}{cos(1+sin)}+frac{cos^2}cos(1+sin)}-fra1+ ctg}+frac{cos}{1+sin}-frac{1}{cos}=frac{sin}{cos}+frac{cos}{1+sin}-frac{1}{cos}= \ \=frac{sin(1+sin)}{cos(1+sin)}+frac{cos^2}{cos(1+sin)}-frac{1+ sin}{cos(1+sin)}=\ \=frac{sin+sin^2+cos^2-1-sin}{cos(1+sin)} = frac{0}{cos(1+sin)}=0[/latex]