5
QuizMultiple Choice

Reciprocal Trigonometric Functions — Quiz

Question 5 • Precalculus

Which function is undefined when theta is equal to pi over 2 radians?

Answer
A
tangent theta
B
cosecant theta
C
cosine theta
D
cotangent theta

Explanation

At θ = π/2, cosine is 0 and sine is 1. Tangent is defined as sin θ ÷ cos θ, so its denominator is 0 and tangent is undefined. Cosecant, cosine, and cotangent are all defined at this angle.

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