Grade 9 Cosecant Function Worksheet
Explore the cosecant function, its definition, graph, domain, range, and relationship with the sine function.
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Cosecant Function Exploration
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Read each question carefully and provide clear, concise answers. Show all your work where applicable.
1. Which of the following is the definition of the cosecant function?
1 / cos(x)
1 / sin(x)
sin(x) / cos(x)
cos(x) / sin(x)
2. At which of the following angles is the cosecant function undefined?
π/2
π
3π/2
2π
3. The cosecant function is the reciprocal of the function.
4. The range of the cosecant function is .
5. Explain how the graph of y = csc(x) relates to the graph of y = sin(x).
6. Draw a sketch of the graph of y = csc(x) for the interval [-2π, 2π]. Be sure to include asymptotes and key points.
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