JEE Main 2025 — Trigonometric Ratios & Identities Question with Solution
JEE Main 2025 (28 Jan Shift 2)
Question
If , then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
$\begin{aligned}
& \frac{1}{\sin \frac{\pi}{6}} \sum_{\mathrm{r}=1}^{13}\left(\cot \left(\frac{\pi}{4}+(\mathrm{r}-1) \frac{\pi}{6}\right)-\cot \left(\frac{\pi}{4}+\frac{\mathrm{r} \pi}{6}\right)\right) \\
& =2 \sqrt{3}-2=\alpha \sqrt{3}+\mathrm{b}
\end{aligned}$
So
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This is a previous-year question from JEE Main 2025, covering the Trigonometric Ratios & Identities chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.