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If cot θ = P, which of the following expressions must also equal P?

(A)tan θ

(B) csc θ - 1

(C) sin θ - cos θ

(D)

(E)

In the figure below, 0 < y < x. One of the angle measures in the triangle is . What is ?

（A） （B） （C） （D） （E）

Correct Answer: A

The employees of two factories, X and Y, are comparing their respective production records. Factory X has already produced 18,000 units and can produce 120 units per day. Factory Y has produced only 14,500 units but can produce 155 units per day. If d represents the number of days (that is, days during which each factory is producing its maximum number of units), which of the following equations could be solved to determine the number of days until X's total production equals Y's total production?

(A) 18,000 + 120d = 14,500 + 155d(B) 18,000 + 155d = 14,500 + 120d(C) (18,000 + 120)d = (14,500 + 155)d(D) (120 + 155)d = 18,000 - 14,500(E) (120 + 155)d = 18,000 + 14,500

Correct Answer: A

If point A has a non-zero x-coordinate and a non-zero y-coordinate and at least one of these coordinate values is positive, then point A must be located in which of the 4 quadrants labeled below?

（A）I only （B） I or II only （C） II or IV only （D） II, III, or IV only （E） I, II, or IV only

Correct Answer: E