Question

Prove that :
$\frac{sin \: a}{1 + cos \: a} + \frac{1 + cos \: a}{sin \: a} = 2 \: cosec \: a$

Please answer step wise! ! ! ! ! ​

Answer 1

sin²a+cos²a=1

1/sina=cosec a

Answer 2

Answer:

sin^2a+(1+cosa)^2/(1+cosa)×sina

sin^2a+[1+cos^2a+2cosa]/(1+cosa)×sina

sin^2a+cos^2a+1+2cosa/(1+cosa)×sina

1+1+2cosa/(1+cosa)×sina

2+2cosa/(1+cosa)×sina

2(1+cosa)/(1+cosa)×sina

2/sina

2coseca