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\(\sin 2A = 2\sin A \cos A = \frac{2\tan A}{1 + \tan^2 A}\)
1. \( 1- cos 2A = 2sin^2A \)
2. \( 1 + cos 2A = 2cos^2A \)
\(\cos 2A = \cos^2 A - \sin^2 A = 1 - 2\sin^2 A = 2\cos^2 A - 1 = \frac{1 - \tan^2 A}{1 + \tan^2 A}\)
\(\tan 2A = \frac{2\tan A}{1 - \tan^2 A}\) (iv) \(1 - \cos 2A = 2\sin^2 A\)
\(\sin 3A = 3\sin A - 4\sin^3 A\) (ii) \(\cos 3A = 4\cos^3 A - 3\cos A\)
\(\tan 3A = \frac{3\tan A - \tan^3 A}{1 - 3\tan^2 A}\)

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