UPSKILL MATH PLUS

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(i) If \(sin \ \theta + cos \ \theta = p\) and \(sec \ \theta + cosec \ \theta = q\), then prove that \(q(p^2 - 1) = 2p\)
 
(ii) If \(sin \ \theta(1 + sin^2 \ \theta) = cos^2 \ \theta\), then prove that \(cos^6 \ \theta - 4 cos^4 \ \theta + 8 cos^2 \ \theta = 4\).
 
Important!
This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.