Report Issue

JEE MAIN 2026
24-01-2026 S1
Question
If $\cot x=\frac{5}{12}$ for some $x \in\left(\pi, \frac{3 \pi}{2}\right)$, then $\sin 7 x\left(\cos \frac{13 x}{2}+\sin \frac{13 x}{2}\right)+\cos 7 x\left(\cos \frac{13 x}{2}-\sin \frac{13 x}{2}\right)$ is equal to
Select the correct option:
A
$\frac{4}{\sqrt{26}}$
B
$\frac{6}{\sqrt{26}}$
C
$\frac{1}{\sqrt{13}}$
D
$\frac{5}{\sqrt{13}}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Easy
Start Preparing for JEE with Competishun