If \( a^{2}-2 a \cos x+1=674 \) and \( \tan \left(\frac{x}{2}\right)=7 \), then the integral val....

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If \( a^{2}-2 a \cos x+1=674 \) and \( \tan \left(\frac{x}{2}\right)=7 \), then the
\( \mathrm{P} \)
integral value of ' \( a \) ' is
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