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