JEE Advanced 2019 Paper 2 Mathematics Q12

Mathematics

Problem

The value of sec⁻¹((1/4)Σₖ₌₀¹⁰ sec(7π/12 + kπ/2) sec(7π/12 + (k + 1)π/2)) in the interval [−π/4, 3π/4] equals _____.