Grade 12 Cotangent Worksheet
This worksheet focuses on understanding and applying the cotangent function, including its graph, values, and relationship to other trigonometric functions.
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Grade 12 Cotangent Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Define the cotangent function in terms of sine and cosine.
2. What is the relationship between the cotangent function and the tangent function?
3. The cotangent of π/4 is .
4. The cotangent of 2π/3 is .
5. For which values of x in the interval [0, 2π) is cot(x) undefined? List all values: .
6. Sketch one full period of the graph of y = cot(x) on the coordinate plane below. Label the asymptotes and x-intercepts.
7. Which of the following is equivalent to cot(x)?
sin(x)/cos(x)
1/sin(x)
1/tan(x)
cos(x)sin(x)
8. If tan(θ) = 3/4 and θ is in Quadrant I, find the exact value of cot(θ).
9. A right triangle has an angle α. The adjacent side to α is 5 units long, and the opposite side is 12 units long. What is the cotangent of α?