Grade 12 Cosecant Function Worksheet

Explore the cosecant function, its graph, domain, range, and asymptotes with this Grade 12 trigonometry worksheet.

Grade 12 Math TrigonometryCosecant Function

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseMatching

Standards

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

8 sections · Free to use · Printable

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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)