Given that \( \cos \frac{x}{2}=\frac{12}{13} \) and \( x \) lies in first quadrant, calculate wi...

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Given that \( \cos \frac{x}{2}=\frac{12}{13} \) and \( x \) lies in first quadrant, calculate without the use of tables, the values of \( \sin x, \cos x \) and \( \tan x \).
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