PDF chapter test TRY NOW

Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
 
i. (cosec θ – cot θ)^2 = \frac{1 – cosθ}{1 + cosθ}
 
ii. \frac{cos A}{1+sin A} + \frac{1+sin A}{cos A} = 2 sec A
 
Important!
This is a creative exercise. Your teacher will check it manually.