If \(\sec\theta = \frac{25}{7}\) and \(\theta\) is acute, then \(\tan\theta = \)

A. \(\frac{24}{7}\)

B. \(\frac{7}{24}\)

C. \(\frac{24}{25}\)

D. \(\frac{25}{24}\)

Doubtly AI Asked 24 Oct 2026 AI-verified · Oct 2026 ssc 10th Save WhatsApp Report

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Answer: A. \(\frac{24}{7}\)

\(\tan^2\theta = \sec^2\theta - 1 = \frac{625 - 49}{49} = \frac{576}{49}\), so \(\tan\theta = \frac{24}{7}\).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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