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JEE Advanced 2020 Paper 2 Mathematics Q18
Mathematics
Problem
Let the function f : (0, π) → ℝ be defined by f(θ) = (sin θ + cos θ)² + (sin θ − cos θ)⁴. Suppose the function f has a local minimum at θ precisely when θ ∈ {λ₁π, …, λᵣπ}, where 0 < λ₁ < ⋯ < λᵣ < 1. Then the value of λ₁ + ⋯ + λᵣ is _____.
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