JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumTrigonometry118× since 2002If ∑r=113{1sin(14+(r−1)23)sin(74+27)}=a3+b\sum_{r=1}^{13} \left\{\frac{1}{\sin \left(\frac{1}{4}+(r-1) \frac{2}{3}\right) \sin \left(\frac{7}{4}+\frac{2}{7}\right)}\right\}=a \sqrt{3}+b∑r=113{sin(41+(r−1)32)sin(47+72)1}=a3+b, a,b∈Za, b \in \mathbb{Z}a,b∈Z, then a2+b2a^2+b^2a2+b2 is equal to:AOption A. 10BOption B. 4COption C. 2DOption D. 8CheckStep-by-step hintSkip · show solution
