3
lesson pretestMultiple Choice

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Question 3 • Algebra 2

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

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

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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