PDF chapter test TRY NOW

Prove the following:
 
1. \frac{sin \ \theta}{1+ cos \ \theta} + \frac{1 + cos \ \theta}{sin \ \theta} = 2 \ cosec \ \theta
 
2. \frac{tan \ A}{1 + sec \ A} - \frac{tan \ A}{1 - sec \ A} = 2 \ cosec \ A
 
Important!
This is a creative exercise. Your teacher will check it manually.