The value of \( \tan \frac{\theta}{2}(1+\sec \theta)(1+\sec 2 \theta)\left(1+\sec 2^{2} \theta\r...

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The value of \( \tan \frac{\theta}{2}(1+\sec \theta)(1+\sec 2 \theta)\left(1+\sec 2^{2} \theta\right) \ldots \)  \( \left(1+\sec 2^{n} \theta\right) \) is
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