Question

Sin a. 1+ cos a
------------. + --------------
1 + cos a. Sin a
Спростіть вираз

Answer 1

$frac{Sinalpha}{1+Cosalpha}+frac{1+Cosalpha}{Sinalpha}=frac{Sin^{2}alpha+1+2Cosalpha+Cos^{2}alpha}{Sinalpha(1+Cosalpha)}=frac{2+2Cosalpha}{Sinalpha(1+Cosalpha)}=frac{2(1+Cosalpha)}{Sinalpha(1+Cosalpha)}=frac{2}{Sinalpha}=2Cosecalpha$