9709 P13 - Jun 2012 - Q1
586
(i) Prove the identity \(\tan^2 \theta - \sin^2 \theta \equiv \tan^2 \theta \sin^2 \theta\).
(ii) Use this result to explain why \(\tan \theta > \sin \theta\) for \(0^\circ < \theta < 90^\circ\).
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