UPSKILL MATH PLUS

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Prove the following identites.
 
(i) \frac{sin \ A - sin \ B}{cos \ A + cos \ B} + \frac{cos \ A - cos \ B}{sin \ A + sin \ B} = 0
 
(ii) \frac{sin^3 \ A + cos^3 \ A}{sin \ A + cos \ A} + \frac{sin^3 \ A - cos^3 \ A}{sin \ A - cos \ A} = 2
 
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This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.