Quantitative Aptitude Trigonometry Trigonometric Ratios and Identities

If A is in the fourth quadrant and cos \(A = \frac{5}{{13}},\) then find the value of \(\frac{{13\;sinA\; + \;5\sec A}}{{5\tan A\; + \;6cosec\;A}}\)

1
\(\frac{{ - 4}}{{37}}\)
2
\(\frac{2}{{37}}\)
3
\(\frac{{ - 3}}{{37}}\)
4
\(\frac{{ - 2}}{{37}}\)

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