If 8cotθ = 7, then the value of \(\frac{1+sin \theta}{cos\theta}\) is:

1
\(\frac{8 + \sqrt{113}}{7}\)
2
\(\frac{1 + \sqrt{113}}{8}\)
3
\(\frac{7 + \sqrt{113}}{8}\)
4
\(\frac{1 + \sqrt{113}}{7}\)

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