2
QuizMultiple Choice

Reciprocal Trigonometric Functions — Quiz

Question 2 • Precalculus

When cosecant of theta sine of theta is simplified, what is the result?

Answer
A
0
B
the fraction with numerator 1 and denominator cosecant squared
C
the fraction with numerator 1 and denominator sine squared
D
1

Explanation

Cosecant is the reciprocal of sine: csc(θ) = 1/sin(θ). Therefore, csc(θ) · sin(θ) = (1/sin(θ)) · sin(θ) = 1, so the result is 1.

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