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+2 votes
11.8k views
in Mathematics by (49.1k points)

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

+1 vote
by (46.9k points)

f(θ) = (sinθ + cosθ)2 + (sinθ − cosθ)

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