0606 P13 - Jun 2017 - Q7 - 7 marks
8575
(a) Show that
\(\frac{\tan^2\theta+\sin^2\theta}{\cos\theta+\operatorname{sec}\theta}=\tan\theta\sin\theta.\)
(b) Given that \(x=3\sin\phi\) and \(y=\dfrac3{\cos\phi}\), find the numerical value of \(9y^2-x^2y^2\).
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