Find the value of \(\tan 15^\circ \times \tan 30^\circ \times \tan 45^\circ \times \tan 60^\circ \times \tan 75^\circ\).

A. 1

B. \(\sqrt{3}\)

C. \(\frac{1}{\sqrt{3}}\)

D. 0

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

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Answer: A. 1

Answer: (A) 1

\(\tan\theta \times \tan(90^\circ - \theta) = \tan\theta \times \cot\theta = 1\). So \(\tan 15^\circ \tan 75^\circ = 1\), \(\tan 30^\circ \tan 60^\circ = 1\) and \(\tan 45^\circ = 1\). Product \(= 1\).

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

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Find the value of \(\tan 15^\circ \times \tan 30^\circ \times \tan 45^\circ \times \tan 60^\circ \times \tan 75^\circ\).

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