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.