A particle is projected up an inclined plane of inclination \( \beta \) at an elevation \( \alph...

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A particle is projected up an inclined plane of inclination \( \beta \) at an elevation \( \alpha \) to the horizon. Show that (a) \( \tan \) \( \alpha=\cot \beta+2 \tan \beta \), if particle strikes the plane at right angles; (b) \( \tan \alpha=2 \tan \beta \), if the particle strikes the plane horizontally.
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