If \(\sec\theta + \tan\theta = 3\), find \(\sin\theta\).

A. \(\frac{3}{5}\)

B. \(\frac{4}{3}\)

C. \(\frac{5}{3}\)

D. \(\frac{4}{5}\)

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

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Answer: D. \(\frac{4}{5}\)

Answer: (D) \(\frac{4}{5}\)

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

Adding: \(\sec\theta = \frac{5}{3}\); subtracting: \(\tan\theta = \frac{4}{3}\).

\(\sin\theta = \frac{\tan\theta}{\sec\theta} = \frac{4/3}{5/3} = \frac{4}{5}\).

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

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