What is the period of the function f(x) = cot(x)? Provide the answer in terms of pi.
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Question: In a triangle ABC, if the angle bisector of angle A intersects the side BC at point D, and AB = 8 cm, AC = 10 cm, and BD = 4 cm, find the length of DC.
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Math question: "Graph the inequality system: y > 3x - 2 and y β€ -2x + 4. How many feasible points exist within the solution region?