Grade 9 Cosecant Function Worksheet

Explore the cosecant function, its definition, graph, domain, range, and relationship with the sine function.

Grade 9 Math TrigonometryCosecant Function

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Multiple ChoiceFill in the BlanksShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSF.TF.A.2CCSS.MATH.CONTENT.HSF.TF.B.5

Topics

cosecanttrigonometrymathgrade 9

6 sections · Free to use · Printable

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

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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