19
QuizMultiple Choice

Modeling with Trigonometric Expressions and Functions: Part One — Test

Question 19 • Precalculus

Suppose tangent of b is equal to negative 2 , and the terminal side of b is located in quadrant II. What is cotangent of b ?

Answer
A
negative 1 half
B
negative 2
C
1 half
D
2

Explanation

Cotangent is the reciprocal of tangent. Since tan(b) = −2, cot(b) = 1/(−2) = −1/2, which is choice A, negative one half. This sign also fits quadrant II, where tangent and cotangent are negative.

AI-written and checked against the verified answer.

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