If \(\sec\theta + \tan\theta = 3\), then \(\sec\theta - \tan\theta = \)

A. 3

B. \(\frac{1}{3}\)

C. \(-3\)

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

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

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Best answer

Answer: B. \(\frac{1}{3}\)

\((\sec\theta + \tan\theta)(\sec\theta - \tan\theta) = \sec^2\theta - \tan^2\theta = 1\), so \(\sec\theta - \tan\theta = \frac{1}{3}\).

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

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