Grade 12 Cosecant Function Worksheet
Explore the cosecant function, its graph, domain, range, and asymptotes with this Grade 12 trigonometry worksheet.
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Grade 12 Cosecant Function Worksheet
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following is equivalent to the cosecant function?
1/sin(x)
1/cos(x)
1/tan(x)
sin(x)/cos(x)
2. The cosecant function has vertical asymptotes whenever the sine function is equal to .
3. The range of the cosecant function is .
4. Describe the relationship between the graph of y = sin(x) and y = csc(x).
5. The period of y = csc(x) is π.
True
False
6. Sketch one period of the graph of y = csc(x). Clearly label any asymptotes and key points.
Match the trigonometric function with its reciprocal.
7. sin(x)
a. sec(x)
8. cos(x)
b. cot(x)
9. tan(x)
c. csc(x)
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