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QuizMultiple Choice

Reciprocal Trigonometric Functions — Quiz

Question 1 • Precalculus

Which results from multiplying the six trigonometric functions?

Answer
A
3
B
negative 1
C
1
D
negative 3

Explanation

For an angle where all six trigonometric functions are defined, multiply sin θ, cos θ, tan θ, csc θ, sec θ, and cot θ. Since tan θ = sin θ/cos θ, csc θ = 1/sin θ, sec θ = 1/cos θ, and cot θ = cos θ/sin θ, the factors cancel to give 1. The correct choice is 1.

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