If cos(2θ + 54°) = sin θ, 0° < (2 θ + 54°) < 90°, then what is the value of \(\frac{1}{tan 5 \theta + cosec \frac{5 \theta}{2}}\)?

1
\(2 - \sqrt{3}\)
2
\(2 + \sqrt{3}\)
3
\(2 \sqrt{3}\)
4
\(3 \sqrt{2}\)

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