Cotangent Functions Worksheet
Explore cotangent functions, their graphs, and properties in this Grade 11 trigonometry worksheet.
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Cotangent Functions Worksheet
Name:
Date:
Score:
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
π
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.
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