If \(\cos\theta = \frac{5}{13}\) and \(\theta\) is acute, find the value of \(\csc\theta + \cot\theta\).

A. \(\frac{8}{5}\)

B. \(\frac{7}{4}\)

C. \(\frac{3}{2}\)

D. \(\frac{17}{12}\)

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc chsl Save WhatsApp Report

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Answer: C. \(\frac{3}{2}\)

Answer: (C) \(\frac{3}{2}\)

With adjacent side 5 and hypotenuse 13, the opposite side is 12. \(\csc\theta = \frac{13}{12}\), \(\cot\theta = \frac{5}{12}\). Sum \(= \frac{18}{12} = \frac{3}{2}\).

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

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If \(\cos\theta = \frac{5}{13}\) and \(\theta\) is acute, find the value of \(\csc\theta + \cot\theta\).

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