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Let the function : (0,π)→R be defined by 

(θ) = (sinθ + cosθ)2 + (sinθ − cosθ)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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1 Answer

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by (47.5k points)

f(θ) = (sinθ + cosθ)2 + (sinθ − cosθ)

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