The value of Σ_(r=1)¹³ 1/sin(π/4 + (r-1)π/6)sin(π/4 + rπ/6) = a√3… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 28 January, Shift 2Trigonometric Ratios & Identities

The value of $\sum_{r=1}^{13} \frac{1}{\sin\left(\frac{\pi}{4} + (r-1)\frac{\pi}{6}\right)\sin\left(\frac{\pi}{4} + r\frac{\pi}{6}\right)} = a\sqrt{3} + b$ , where $a, b \in \mathbb{Z}$ . Then $a^2 + b^2$ is equal to:

A
$10$
B
$4$
C
$8$
D
$2$

Answer & step-by-step solution

Practice more Trigonometric Ratios & Identities questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Trigonometric Ratios & Identities

Answer & step-by-step solution

Practice more Trigonometric Ratios & Identities questions

Related questions