Cotangent Functions Worksheet - Grade 10

Explore cotangent functions, their graphs, properties, and applications in trigonometry for Grade 10 students.

Grade 10 Math TrigonometryCotangent

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.B.5CCSS.MATH.CONTENT.HSF.TF.C.7

Topics

cotangenttrigonometrygraphsfunctionsmath

7 sections · Free to use · Printable

Cotangent Functions 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. What is the cotangent of an angle θ in a right-angled triangle?

Opposite / Adjacent

Adjacent / Hypotenuse

Adjacent / Opposite

Hypotenuse / Opposite

1. The cotangent function is the reciprocal of the function.

2. The period of the basic cotangent function, cot(x), is .

3. Cotangent is undefined when the sine of the angle is .

1. Sketch one period of the graph of y = cot(x) on the coordinate plane below. Label the asymptotes and x-intercepts.

1. The domain of y = cot(x) includes all real numbers.

True

False

1. If tan(θ) = 5/12, what is cot(θ)?

2. Find the exact value of cot(π/4).

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