Cotangent Functions Worksheet

Explore cotangent functions, their graphs, and properties in this Grade 11 trigonometry worksheet.

Grade 11 Math TrigonometryCotangent

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

cotangenttrigonometryfunctionsgraphsgrade 11

7 sections · Free to use · Printable

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Date:

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Read each question carefully and answer to the best of your ability. Show all work where applicable.

1. Which of the following is equivalent to cot(θ)?

sin(θ)/cos(θ)

1/sin(θ)

cos(θ)/sin(θ)

1/cos(θ)

2. What is the period of the function y = cot(x)?

π/2

2π

4π

3. The cotangent function has vertical asymptotes whenever sin(x) is equal to .

4. The domain of y = cot(x) is all real numbers except for integer multiples of .

5. Sketch one period of the graph of y = cot(x). Label the x-intercepts and asymptotes.

6. The range of the cotangent function is (-∞, ∞).

True

False

7. cot(π/2) = 0.

True

False

8. If tan(x) = 3, what is cot(x)?

9. Evaluate cot(3π/4) without using a calculator. Show your work.