UPSKILL MATH PLUS

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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.