Odpowiedź:
[tex]\frac{cos\alpha}{sin\alpha}+\frac{sin\alpha}{1+cos\alpha}=\frac{cos\alpha(1+cos\alpha)}{sin\alpha(1+cos\alpha)}+\frac{sin^2\alpha}{sin\alpha(1+cos\alpha)}=\frac{cos\alpha+cos^2\alpha+sin^2\alpha}{sin\alpha(1+cos\alpha)}=\frac{cos\alpha+1}{sin\alpha(1+cos\alpha)}\\=\frac{1}{sin\alpha}[/tex]
cnd.
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Odpowiedź:
[tex]\frac{cos\alpha}{sin\alpha}+\frac{sin\alpha}{1+cos\alpha}=\frac{cos\alpha(1+cos\alpha)}{sin\alpha(1+cos\alpha)}+\frac{sin^2\alpha}{sin\alpha(1+cos\alpha)}=\frac{cos\alpha+cos^2\alpha+sin^2\alpha}{sin\alpha(1+cos\alpha)}=\frac{cos\alpha+1}{sin\alpha(1+cos\alpha)}\\=\frac{1}{sin\alpha}[/tex]
cnd.