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Prove the following identities.
 
(i) \(\sqrt{\frac{1 + sin \ \theta}{1 - sin \ \theta}} = sec \ \theta + tan \ \theta\)
 
(ii) \(\sqrt{\frac{1 + sin \ \theta}{1 - sin \ \theta}} + \sqrt{\frac{1 - sin \ \theta}{1 + sin \ \theta}} = 2 sec \ \theta\)
 
Important!
This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.