UPSKILL MATH PLUS

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Prove the following identities.
 
(i) \(sec^4 \ \theta(1 - sin^4 \ \theta) - 2tan^2 \ \theta = 1\)
 
(ii) \(\frac{cot \ \theta - cos \ \theta}{cot \ \theta + cos \ \theta} = \frac{cosec \ \theta - 1}{cosec \ \theta + 1}\)
 
Important!
This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.