UPSKILL MATH PLUS

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Prove the following identites.
 
(i) If \(sin \ \theta + cos \ \theta = \sqrt{3}\), then prove that \(tan \ \theta + cot \ \theta = 1\)
 
(ii) If \(\sqrt{3} sin \ \theta - cos \ \theta = 0\), then show that \(tan \ 3 \theta = \frac{3 \ tan \ \theta - tan^3 \ \theta}{1 - 3 \ \tan^2 \ \theta}\)
 
Important!
This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.