10
QuizMultiple Choice

Reciprocal Trigonometric Functions — Quiz

Question 10 • Precalculus

If sine theta almost equal to 0 point 3 0 9 0 , what is the approximate value of cosecant theta ? Round to four decimal places.

Answer
A
1 point 3 0 9 0
B
0 point 5 5 5 9
C
3 point 2 3 6 2
D
10 point 4 7 3 3

Explanation

Cosecant is the reciprocal of sine, so csc θ = 1 ÷ sin θ. Using sin θ ≈ 0.3090 gives 1 ÷ 0.3090 ≈ 3.2362459, which rounds to 3.2362. The approximate value is 3.2362, choice C.

AI-written and checked against the verified answer.