Problemas con triángulos rectángulos especiales 30-60-90

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Si $\theta = 30^\circ$ $θ = 3 0^{\circ}$ , encuentra el valor exacto de las siguientes expresiones:
1. $sen \; 2 \theta$
2. $\cos^2 2 \theta$
3. ${{\tan^2 \theta} \over 2}$

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