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The value of sec^-1 (1/4 ∑ k ∈ [k = 0, 10] sec (7π/12 + kπ/12) sec(7π/12 + (k+1)π/2)) in the interval [- π/4, 3π/4] equals ___

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The value of sec-1 (1/4 ∑ k ∈ [k = 0, 10] sec (7π/12 + kπ/12) sec(7π/12 + (k+1)π/2)) in the interval [- π/4, 3π/4] equals ___

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= sec-1(1)

= 0

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