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Prove that: (i) (1+"sin" 2theta-cos ...

Prove that:
(i) `(1+"sin" 2theta-cos 2theta)/(1+"sin" 2theta+cos 2theta)="tan" theta`.
(ii) `2 tan 2x=(cos x+"sin" x)/(cos x-"sin" x)-(cos x-"sin" x)/(cos x+"sin" x)`.

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