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Sum[sec((2k+1)pi/4)(sec^2((2k+1)pi/4) + tan^2((2k+1)pi/4)),{k, 0, 3}]
Sum[sec((2k+1)pi/4)(sec^2((2k+1)pi/4) + tan^2((2k+1)pi/4)),{k, 0, 3}]
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