JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The sum of the series

\sin \theta \sec 3 \theta+\sin 3 \theta \sec 3^2 \theta+\sin 3^2 \theta \sec 3^3 \theta

+\ldots n

terms, is

View answer and explanation

Correct option: C

\frac{1}{2}\left[\tan 3^n \theta-\tan \theta\right]

Option C,

\frac{1}{2}\left[\tan 3^n \theta-\tan \theta\right]

, is correct because the series telescopes, leaving only the first and last terms after simplification.

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