GATE EC 2015 Set 3 — Question 9

MCQ+2 / -0.67EasyRatios, Percentages, Powers, Exponents & LogarithmsQuantitative AptitudeGeneral Aptitude

General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms

Last updated 5 September 2026

Question

\log \tan 1^\circ + \log \tan 2^\circ + \dots + \log \tan 89^\circ

S = \sum_{k=1}^{89} \log \tan k^\circ = \log \left( \prod_{k=1}^{89} \tan k^\circ \right)

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S = \sum_{k=1}^{89} \log \tan k^\circ = \log \left( \prod_{k=1}^{89} \tan k^\circ \right)

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